Up-sampling and cross-correlation for time of arrival determinations in passive entry/passive start systems

ABSTRACT

A system is provided and includes a receiver and an access module. The receiver is configured to receive a signal transmitted from a portable access device to a vehicle. The access module is configured to generate a differentiated signal based on the received signal, up-sample the differentiated signal to generate a first up-sampled signal, up-sample an expected signal to generate a second up-sampled signal, cross-correlate the first up-sampled signal and the second up-sampled signal to generate a cross-correlation signal, determine, based on the cross-correlation signal, a phase difference between the first up-sampled signal and the second up-sampled signal, determine a round trip time of the signal received by the receiver based on the phase difference, and permit access to the vehicle based on the round trip time.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation application of U.S. application Ser.No. 17/882,730, filed Aug. 8, 2022, which is a divisional application ofU.S. application Ser. No. 16/824,280, filed on Mar. 19, 2020, now U.S.Pat. No. 11,428,799, which is a continuation-in-part application of U.S.application Ser. No. 16/598,191, filed on Oct. 10, 2019, now U.S. Pat.No. 10,991,182, and claims the benefit of U.S. Provisional ApplicationNo. 62/823,210, filed on Mar. 25, 2019, U.S. Provisional Application No.62/826,239, filed on Mar. 29, 2019, U.S. Provisional Application No.62/744,814, filed on Oct. 12, 2018, U.S. Provisional Application No.62/801,392, filed on Feb. 5, 2019, and U.S. Provisional Application No.62/826,212, filed on Mar. 29, 2019. The entire disclosures of theapplications referenced above are incorporated herein by reference.

FIELD

The present disclosure relates to passive entry/passive start systems.

BACKGROUND

The background description provided here is for the purpose of generallypresenting the context of the disclosure. Work of the presently namedinventors, to the extent it is described in this background section, aswell as aspects of the description that may not otherwise qualify asprior art at the time of filing, are neither expressly nor impliedlyadmitted as prior art against the present disclosure.

Conventional passive entry/passive start (PEPS) systems allow keylessentry including providing a user access to various vehicle functions ifthe user possesses a key fob that has been paired with an in-vehiclePEPS electronic control unit (or PEPS module). As an example, the userin possession of the key fob may approach a vehicle having the PEPSmodule. The key fob communicates with the PEPS module and if the key fobis authenticated, the PEPS module may unlock doors of the vehicle. ThePEPS module (i) performs an authentication process to determine if thekey fob is authorized to access the vehicle, and (ii) determines alocation of the key fob relative to the vehicle. The authenticationprocess may include the exchange of an encrypted password or signature.If the password or signature is correct, then the key fob is determinedto be authorized. Location of the key fob may be determined based on,for example, strength of a signal received from the key fob. If the keyfob is authenticated and is located within an authorized zone of thevehicle, then access to the interior of the vehicle is permitted withoutuse of a traditional key.

As another example, the user in possession of the key fob may activate avehicle function by pushing a button on the key fob. In response topushing the button, the key fob communicates with the PEPS module and ifthe key fob is authenticated and within a predetermined distance of thevehicle, the PEPS module performs the stated function (e.g., starts thevehicle, opens a door, sets off an alarm, etc.) associated with thebutton pressed on the key fob. The communication performed for the twoexamples may include the key fob and the PEPS module performing aone-way low-frequency (LF) wake-up function and a one-way or two-wayradio frequency (RF) authentication function.

A phone as a key (PAK) vehicle access system can operate similarly asthe stated PEPs system, except the vehicle is accessed using a mobilephone rather than a key fob. As an example, the mobile phone cancommunicate with a PAK module or a telematics control unit (TCU) in thevehicle to begin an access pairing process. The mobile phone and eitherthe PAK module or the TCU perform the access pairing process toestablish a trust relationship. The pairing process can includeBluetooth® pairing whereby: security information is exchanged betweenthe mobile phone and the vehicle directly; a mobile phone address, amobile phone identity resolving key, a reservation identifier and/or anencryption key are exchanged via a cloud-based network; and/or themobile phone presents a certificate to the vehicle, where thecertificate is signed by (i) the mobile phone, (ii) a trusted securitysigning authority such as a manufacturer of the vehicle, and/or (iii) atrusted third party. In the case of a certificate, the certificate caninclude an identifier of a person authorized to access a vehicle, anidentifier of a cloud-based network authorized to transfer thecertificate, an identifier of a rental or lease agreement of thevehicle, an identifier of the vehicle, a date and time period duringwhich the vehicle is permitted for use by the authorized person, and/orother restrictions and/or access/license information.

For passive entry, some user action is typically needed to initiate aprocess of waking up a key fob or mobile phone (referred to as portableaccess devices). For example, this may include a user approaching thevehicle with a portable access device and/or touching and/or pulling ona door handle. When a PEPS module or a PAK module, which are referred toas access modules, detects this behavior, the access module performs alocalization process to begin searching for and waking up the key fob.In a one-way RF system, a LF downlink signal (e.g., 125 kilo-Hertz (kHz)signal) is transmitted from the access module to the key fob to wake-upthe key fob to send commands and data for authentication purposes to thekey fob. The key fob then transmits a response signal to the accessmodule via an RF uplink. The response signal may be at an ultra-highfrequency (e.g., 315 mega-Hertz (MHz) or 433 MHz). In a two-way RFsystem, a LF downlink signal is transmitted from the access module tothe key fob to wake-up the key fob and establish a bidirectional RF linkbetween the access module and the key fob. The bidirectional RF link maytransmit signals at an UHF frequency (e.g., 315 MHz, 422 MHz, 868 MHz or915 MHz). The bi-directional RF link is then used to authenticate thekey fob. The key fob includes a microcontroller that remains in a sleepmode (or low power listening mode) that constantly checks for a valid LFsignal. Once a valid LF signal containing a correct vehicle specificwake-up identifier, the microcontroller generates a signal to wake-up aPEPS controller to communicate with the access module of the vehicle.

A vehicle may have, for example, 4-6 LF antennas that produce an LFmagnetic field. A controller of the key fob measures a LF signal levelduring communication with the access module. The controller determines areceived signal strength indicator (RSSI) and provides the RSSI to theaccess module. The access module then determines a location of the keyfob based on the RSSI. The key fob includes three discrete antenna coilsor one 3D-coil, which are used to determine x, y, and z axes valuesindicative of a location of the key fob.

A smartphone, a wearable device, and/or other smart portable networkdevice may perform as a key fob. The smart portable network devices mayenable various vehicle functions and long range distancing features,such as passive welcome lighting, distance bounding on remote parkingapplications, etc.

SUMMARY

An access system for a vehicle is provided. The access system includes areceiver and an access module. The receiver is configured to receive asignal transmitted from a portable access device to the vehicle. Theaccess module is configured to: generate a differentiated signal basedon the received signal; up-sample the differentiated signal to generatea first up-sampled signal; obtain or generate an expected signal;up-sample the expected signal to generate a second up-sampled signal;cross-correlate the first up-sampled signal and the second up-sampledsignal to generate a cross-correlation signal; based on thecross-correlation signal, determine a phase difference between the firstup-sampled signal and the second up-sampled signal; determine a roundtrip time of the signal received by the receiver; and permit access tothe vehicle based on the round trip time.

In other features, the access module is configured to: downconvert thesignal to generate a downconverted signal; sample the downconvertedsignal to generate a sampled signal; perform an arctangent of thesampled signal to generate an arctangent signal; and differentiate thearctangent signal to generate the differentiated signal.

In other features, the access module is configured to: determine atleast one of a location or a distance of the portable access devicerelative to the vehicle based on the round trip time; and permit accessto the vehicle based on the at least one of the location or thedistance.

In other features, the access module includes: a first up-samplerconfigured to up-sample the differentiated signal to generate the firstup-sampled signal; and a second up-sampler configured to up-sample theexpected signal to generate the second up-sampled signal. An up-samplerate of the first up-sampler is a same sample rate as the secondup-sampler.

In other features, the access module includes: a sign module configuredto determine a sign of the differentiated signal; and a bit patternmodule configured to generate the expected signal based on the sign ofthe differentiated signal.

In other features, the access module is configured to: obtain theexpected signal; and the expected signal is a predetermined signalobtained by the access module prior to receiving the received signal.

In other features, the access module is configured to perform aniterative process including: multiplying bits of the first up-sampledsignal and the second up-sampled signal to generate resultant products;summing the resultant products to generate a product-sum value; andshifting the second up-sampled signal relative to the first up-sampledsignal. The iterative process provides product-sum values. The accessmodule is configured to determine the phase difference based on theproduct-sum values.

In other features, the access module is configured to reconstruct thesignal transmitted from the portable access device to the vehicle basedon zero-crossings of a portion of the cross-correlation signalassociated with a maximum of the product-sum values.

In other features, the access module includes: an up-sampler configuredto up-sample the differentiated signal to generate the first up-sampledsignal; a sign module configured to determine a sign of the firstup-sampled signal; and a bit pattern module configured to generate theexpected signal based on the sign of the first up-sampled signal.

In other features, a portable access device for an access system of avehicle is provided. The portable access device includes a receiver anda control module. The receiver is configured to receive a signaltransmitted from an access module of a vehicle to the portable accessdevice. The control module is configured to: generate a differentiatedsignal based on the received signal; up-sample the differentiated signalto generate a first up-sampled signal; obtain or generate an expectedsignal; up-sample the expected signal to generate a second up-sampledsignal; cross-correlate the first up-sampled signal and the secondup-sampled signal to generate a cross-correlation signal; based on thecross-correlation signal, determine a phase difference between the firstup-sampled signal and the second up-sampled signal; determine a roundtrip time of the signal received by the receiver; and either transmitthe round trip time to the vehicle to gain access to the vehicle basedon the round trip time, or determine at least one of a location or adistance between the portable access device and the vehicle and transmitat least one of the location or the distance to the vehicle to gainaccess to the vehicle.

In other features, the control module is configured to: downconvert thesignal to generate a downconverted signal; sample the downconvertedsignal to generate a sampled signal; perform an arctangent of thesampled signal to generate an arctangent signal; and differentiate thearctangent signal to generate the differentiated signal.

In other features, the control module is configured to: determine atleast one of a location or a distance of the portable access devicerelative to the vehicle based on the round trip time; and transmit theat least one of the location or the distance to the vehicle to gainaccess to the vehicle based on the at least one of the location or thedistance.

In other features, the control module includes: a first up-samplerconfigured to up-sample the differentiated signal to generate the firstup-sampled signal; and a second up-sampler configured to up-sample theexpected signal to generate the second up-sampled signal, where anup-sample rate of the first up-sampler is a same sample rate as thesecond up-sampler.

In other features, the control module includes: a sign module configuredto determine a sign of the differentiated signal; and a bit patternmodule configured to generate the expected signal based on the sign ofthe differentiated signal.

In other features, the control module is configured to: obtain theexpected signal; and the expected signal is a predetermined signalobtained by the control module prior to receiving the received signal.

In other features, the control module is configured to perform aniterative process including: multiplying bits of the first up-sampledsignal and the second up-sampled signal to generate resultant products;summing the resultant products to generate a product-sum value; andshifting the second up-sampled signal relative to the first up-sampledsignal. The iterative process provides product-sum values. The controlmodule is configured to determine the phase difference based on theproduct-sum values.

In other features, the control module is configured to reconstruct thesignal transmitted from the access module of the vehicle to the portableaccess device based on zero-crossings of a portion of thecross-correlation signal associated with a maximum of the product-sumvalues.

In other features, the control module includes: an up-sampler configuredto up-sample the differentiated signal to generate the first up-sampledsignal; a sign module configured to determine a sign of the firstup-sampled signal; and a bit pattern module configured to generate theexpected signal based on the sign of the first up-sampled signal.

An access system for a vehicle is provided and includes antennas and anaccess module. The antennas are configured to each receive a signaltransmitted from a portable access device to the vehicle. One of theantennas is a circular polarized antenna. The access module isconfigured to: downconvert the received signal to generate an in-phasesignal and a quadrature phase signal; execute a music algorithm todetermine angles of arrival of the received signal as received at theantennas; determine a distance between the portable access device andthe vehicle based on the angles of arrival; and permit access to thevehicle based on the distance.

In other features, antennas include: the circular polarized antennaincluding a conductive ring-shaped body having an inner hole; a circularisolator connected to the conductive ring-shaped body; and a linearpolarized antenna connected to the circular polarized antenna and thecircular isolator and extending outward from the circular isolator. Thelinear polarized antenna includes a sleeve and a conductive elementextending through the sleeve. The linear polarize antenna extendsorthogonal to a radius of the circular polarized antenna.

In other features, the access module is configured to, while executingthe music algorithm: collect analytic signal samples of the signalreceived at each of the antennas to generate a received data matrix;estimate a data covariance matrix based on the received data matrix; usean eigenvalue decomposition process to determine a M×M matrix based onthe covariance matrix, where M is an integer greater than or equal to 2;determine a number of impinging signals; separate the M×M matrix intomultiple matrices; compute a music spectrum based on one of thematrices; and perform a peak search on the music spectrum to determinethe angles of arrival.

In other features, the access module is configured to: perform acovariance smoothing method to generate a modified covariance matrix;and use the eigenvalue decomposition process to determine the M×M matrixbased on the modified covariance matrix.

In other features, the access module is configured to, while generatingthe received data matrix: convert an in-phase and quadrature phasesample vector to a phase angle vector; based on the phase angle vector,generate a recreated in-phase and quadrature phase sample vector foreach of the antennas; and generate the received data matrix based on therecreated in-phase and quadrature phase sample vector for each of theantennas.

In other features, the access module is configured to: create a timevector corresponding to the in-phase and quadrature phase sample vector;discard some of the analytic signal samples taken near antenna switchingtimes; unwrap each repetition portion of remaining samples with a stepsize of it; average frequency of sinusoids of the remaining samples;find average slope of the remaining samples; measure standard deviationof the average slope; determine which of the antennas is misalignedbased on measured standard deviation; and for each of the antennas,interpolate a straight line of points on a time vector to generate areconstructed phase angle vector.

In other features, the access module is configured to: if the standarddeviation is greater than a predetermined threshold, check which one ofthe antennas has an inaccurate alignment; and for the one of theantennas, remeasure the standard deviation of the average slope.

In other features, the access module is configured to perform a cleanmethod including: performing an iterative process including: removingsource signals, one at a time, using a calibrated array manifoldincluding the antennas; and forcing a position of a source signal to anoffset location and recalculate angle of arrival direction of aremaining signal. While performing the iterative process, the accessmodule converges to a new set of impinging angles of arrival.

In other features, a vehicle is provided and includes: a body; and aroof, a center console, a floor or an at least partially enclosed metalstructure. The antennas are implemented in at least one of the roof, thecenter console, the floor, or the at least partially enclosed metalstructure.

In other features, the antennas include a multi-axis polarized RFantenna assembly, where the multi-axis polarized RF antenna assemblyincludes the circular polarized antenna and is oriented in the roof.

In other features, a method is provided and includes: receiving a signaltransmitted from a portable access device to the vehicle at each ofmultiple antennas, where one of the antennas is a circular polarizedantenna; downconverting the received signal to generate an in-phasesignal and a quadrature phase signal; executing a music algorithm todetermine angles of arrival of the received signal as received at theantennas; determining a distance between the portable access device andthe vehicle based on the angles of arrival; and permitting access to thevehicle based on the distance.

In other features, executing the music algorithm includes: collectinganalytic signal samples of the signal received at each of the antennasto generate a received data matrix; estimating a data covariance matrixbased on the received data matrix; using an eigenvalue decompositionprocess to determine a M×M matrix based on the covariance matrix, whereM is an integer greater than or equal to 2; determining a number ofimpinging signals; separating the M×M matrix into multiple matrices;computing a music spectrum based on one of the matrices; and performinga peak search on the music spectrum to determine the angles of arrival.

In other features, the method further includes: performing a covariancesmoothing method to generate a modified covariance matrix; and using theeigenvalue decomposition process to determine the M×M matrix based onthe modified covariance matrix.

In other features, the method further includes, while generating thereceived data matrix: converting an in-phase and quadrature phase samplevector to a phase angle vector; based on the phase angle vector,generating a recreated in-phase and quadrature phase sample vector foreach of the antennas; and generating the received data matrix based onthe recreated in-phase and quadrature phase sample vector for each ofthe antennas.

In other features, the method further includes: creating a time vectorcorresponding to the in-phase and quadrature phase sample vector;discarding some of the analytic signal samples taken near antennaswitching times; unwrapping each repetition portion of remaining sampleswith a step size of it; averaging frequency of sinusoids of theremaining samples; determining average slope of the remaining samples;measuring standard deviation of the average slope; determining which ofthe antennas is misaligned based on measured standard deviation; and foreach of the antennas, interpolating a straight line of points on a timevector to generate a reconstructed phase angle vector.

In other features, the method further includes: if the standarddeviation is greater than a predetermined threshold, checking which oneof the antennas has an inaccurate alignment; and for the one of theantennas, remeasuring the standard deviation of the average slope.

In other features, the method further includes performing a clean methodincluding: performing iterative process including removing sourcesignals, one at a time, using a calibrated array manifold including theantennas, and forcing a position of a source signal to an offsetlocation and recalculate angle of arrival direction of a remainingsignal; and while performing the iterative process, converging to a newset of impinging angles of arrival.

In other features, the vehicle includes (i) a body and (ii) a roof, acenter console, a floor or an at least partially enclosed metalstructure. The antennas are implemented in at least one of the roof, thecenter console, the floor, or the at least partially enclosed metalstructure.

In other features, the antennas include a multi-axis polarized RFantenna assembly. The multi-axis polarized RF antenna assembly includesthe circular polarized antenna and is oriented in the roof.

An access system for a vehicle is provided. The access system includesantennas and an access module. The antennas are configured to eachreceive a signal transmitted from a portable access device to thevehicle. The signal is transmitted on a 2.4 gigahertz frequency. Theaccess module is configured to: downconvert the received signal togenerate an in-phase signal and a quadrature phase signal; performcarrier phase based ranging including implementing a music algorithm to(i) determine a distance between the portable access device and thevehicle, and (ii) determine angles of arrival of the received signal asreceived at the antennas; determine a location of the portable accessdevice relative to the vehicle based on the distance and the angles ofarrival; and permit access to the vehicle based on the location.

In other features, the antennas are disposed in the vehicle such thatthe received signal has multiple corresponding bounce paths between theportable access device and the antennas.

In other features, the antennas are disposed in a metal structure of thevehicle.

In other features, the antennas are positioned, such that there is noline of sight between the antennas and the portable access device.

In other features, the access system further includes sensors, whereeach of the sensors includes two or more of the antennas, and where thesensors are disposed in the vehicle such that the received signal hasmultiple corresponding bounce paths between the portable access deviceand each of the sensors.

In other features, the access module is configured to: monitor thereceived signal and generates a received signal strength indicator basedon the received signal; determine whether the portable access device isinside or outside the vehicle based on the received signal strengthindicator; and when the portable access device is outside the vehicle,determine the distance between the portable access device and thevehicle.

In other features, at least one of the antennas is a circular polarizedantenna.

In other features, the antennas include: a circular polarized antennaincluding a conductive ring-shaped body having an inner hole; a circularisolator connected to the conductive ring-shaped body; and a linearpolarized antenna connected to the circular polarized antenna and thecircular isolator and extending outward from the circular isolator. Thelinear polarized antenna includes a sleeve and a conductive elementextending through the sleeve. The linear polarize antenna extendsorthogonal to a radius of the circular polarized antenna.

In other features, the access module is configured to, whileimplementing the music algorithm: collect analytic signal samples of thesignal received at each of the antennas to generate a received datamatrix; estimate a data covariance matrix based on the received datamatrix; use an eigenvalue decomposition process to determine a M×Mmatrix based on the covariance matrix, where M is an integer greaterthan or equal to 2; determine a number of impinging signals; separatethe M×M matrix into matrices; compute a music spectrum based on one ofthe matrices; and perform a peak search on the music spectrum todetermine the angles of arrival.

In other features, the receiver includes a phase lock loop and is phaselocked with a transmitter of the portable access device. The accessmodule is configured to perform tone exchanges with the transmitter andbased on the tone exchanges determine at least one of the distance orthe angles of arrival.

In other features, the receiver includes a phase lock loop and is phaselocked with a transmitter of the portable access device. The accessmodule is configured to: perform tone exchanges with the transmitter andbased on the tone exchanges determine round trip time of flightinformation; and based on the round trip time of flight information,determine the distance.

In other features, a vehicle is provided and includes: the accesssystem; a body; and a roof, a center console, a floor or an at leastpartially enclosed metal structure. The antennas are implemented in atleast one of the roof, the center console, the floor, or the at leastpartially enclosed metal structure.

In other features, a method is provided and includes: receiving a signaltransmitted from a portable access device to the vehicle at each ofmultiple antennas, where the signal is transmitted on a 2.4 gigahertzfrequency; downconverting the received signal to generate an in-phasesignal and a quadrature phase signal; performing carrier phase basedranging including implementing a music algorithm to (i) determine adistance between the portable access device and the vehicle, and (ii)determine angles of arrival of the received signal as received at theantennas; determining a location of the portable access device relativeto the vehicle based on the distance and the angles of arrival; andpermitting access to the vehicle based on the location.

In other features, the antennas are disposed in the vehicle such thatthe received signal has multiple corresponding bounce paths between theportable access device and the antennas.

In other features, the antennas are positioned, such that there is noline of sight between the antennas and the portable access device.

In other features, the pairs of the antennas are implemented as part ofrespective sensors. The sensors are disposed in the vehicle such thatthe received signal has multiple corresponding bounce paths between theportable access device and each of the sensors.

In other features, the method further includes: monitoring the receivedsignal and generates a received signal strength indicator based on thereceived signal; determining whether the portable access device isinside or outside the vehicle based on the received signal strengthindicator; and when the portable access device is outside the vehicle,determining the distance between the portable access device and thevehicle.

In other features, at least one of the antennas is a circular polarizedantenna.

In other features, the method further includes, while implementing themusic algorithm: collecting analytic signal samples of the signalreceived at each of the antennas to generate a received data matrix;estimating a data covariance matrix based on the received data matrix;using an eigenvalue decomposition process to determine a M×M matrixbased on the covariance matrix, where M is an integer greater than orequal to 2; determining a number of impinging signals; separating theM×M matrix into multiple matrices; computing a music spectrum based onone of the matrices; and performing a peak search on the music spectrumto determine the angles of arrival.

In other features, the method further includes: performing toneexchanges with a transmitter of the portable access device; and based onthe tone exchanges, determining at least one of the distance or theangles of arrival. A receiver of the portable access device, performingthe tone exchanges, includes a phase lock loop and is phase locked witha transmitter of the portable access device.

In other features, the method further includes: performing toneexchanges with the transmitter and based on the tone exchangesdetermining round trip time of flight information; and based on theround trip time of flight information, determining the distance. Areceiver of the portable access device, performing the tone exchanges,includes a phase lock loop and is phase locked with a transmitter of theportable access device.

A multi-axis polarized RF antenna assembly is provided and includes acircular polarized antenna, a circular isolator, and a linear polarizedantenna. The circular polarized antenna includes a conductivering-shaped body having an inner hole. The circular isolator isconnected to the conductive ring-shaped body. The linear polarizedantenna is connected to the circular polarized antenna and the circularisolator and extending outward from the circular isolator. The linearpolarized antenna includes a sleeve and a conductive element extendingthrough the sleeve. The linear polarize antenna extends orthogonal to aradius of the circular polarized antenna.

In other features, the conductive element is a wire. In other features,the sleeve is formed of polytetrafluoroethene. The conductive element isformed of copper.

In other features, the linear polarized antenna is configured to extenddownward from the circular polarized antenna when is use.

In other features, the circular polarized antenna is a 2-axis antenna.The linear polarize antenna is a single axis antenna.

In other features, the multi-axis polarized RF antenna assembly furtherincludes a ground layer. The circular isolator is disposed on the groundplane, between the conductive element and the ground plane, and betweenthe circular polarized antenna and the ground plane.

In other features, the circular polarized antenna includes two feedpoints 90° phase offset and configured to receive signal 90° out ofphase from each other.

In other features, a vehicle is provided and includes a body and a roof.The roof includes the multi-axis polarized RF antenna assembly. Themulti-axis polarized RF antenna assembly is oriented in the roof, suchthat the linear polarized antenna extends downward from the circularpolarized antenna.

In other features, a vehicle system is provided and includes themulti-axis polarized RF antenna assembly, a second multi-axis polarizedRF antenna assembly and an access module. The multi-axis polarized RFantenna assembly is a first multi-axis polarized RF antenna assembly andis configured to be implemented in a vehicle. The second multi-axispolarized RF antenna assembly is configured to be implemented in thevehicle and includes: a second circular polarized antenna including asecond conductive ring-shaped body having a second inner hole; a secondcircular isolator connected to the second conductive ring-shaped body;and a second linear polarized antenna connected to the second circularisolator and extending outward from the second circular isolator. Thesecond linear polarized antenna includes a sleeve and a conductiveelement extending through the sleeve of the second linear polarizedantenna. The second linear polarize antenna extends orthogonal to aradius of the second circular polarized antenna. The access module isconnected to the first multi-axis polarized RF antenna assembly and thesecond multi-axis polarized RF antenna assembly and configured tocommunicate with a portable access device via the first multi-axispolarized RF antenna assembly and the second multi-axis polarized RFantenna assembly.

In other features, at any moment in time, at least one of the linearpolarized antenna or the first multi-axis polarized RF antenna assemblyis not cross-polarized with an antenna of the second multi-axispolarized RF antenna assembly.

In other features, the access module is configured to perform passiveentry passive start operations or phone as a key operations includingtransmitting and receiving radio frequency signals via the first one ofthe multi-axis polarized RF antenna assembly and the second one of themulti-axis polarized RF antenna assembly.

In other features, the access module is configured to permit access tothe vehicle based on the radio frequency signals.

In other features, the access module is configured to execute analgorithm to determine which antenna pair of the first one of themulti-axis polarized RF antenna assembly and the second one of themulti-axis polarized RF antenna assembly to use for communication withthe portable access device. In other features, the portable accessdevice is a key fob or a cellar phone.

In other features, a method of communicating with a portable accessdevice is provided. The method includes iteratively performing analgorithm via an access module of a vehicle, where the algorithmincludes a series of operations including: selecting a frequency fromfrequencies; selecting an antenna pair from possible antenna pairs;where antennas of the possible antenna pairs include antennas withdifferent polarized axes; transmitting a packet to the portable accessdevice via the selected antenna pair; receiving a first received signalstrength indicator (RSSI) and a response signal from the portable accessdevice, where the first RSSI corresponds to the transmission of thepacket; and measuring a second RSSI of the response signal. Based on thefirst RSSIs and the second RSSIs, a best one of the frequencies and abest antenna pair of the possible antenna pairs are selected. One ormore additional packets are transmitted using the selected bestfrequency and the selected best antenna pair.

In other features, each selected antenna pair includes one of the linearpolarized antennas and one of the circular polarized antennas.

In other features, the method of claim 1, further includes: transmittingthe one or more additional packets to authorize the portable accessdevice; determining whether the portable access device is authorized toaccess an interior of the vehicle; and permitting access to an interiorof the vehicle if the portable access device is authorized.

In other features, the method further includes: measuring time-of-flightof the one or more additional packets including time to transmit the oneor more additional packets to the portable access device and time toreceive one or more responses from the portable access device; and basedon the measured time-of-flight, estimating a distance between thevehicle and the portable access device.

In other features, the estimated distance is used to detect whetheranother device is attempting to perform a range extender type relaystation attack. In other features, the method of claim 4, furtherincludes, if the another device is attempting to perform a rangeextender type relay station attack, performing a countermeasureincluding preventing access to the interior of the vehicle. In otherfeatures, the countermeasure includes notifying an owner of the vehicleof the range extender type relay station attack.

In other features, the method further includes: exchanging multiplepairs of unmodulated carrier tones with the portable access device atmultiple frequencies, where the pairs of unmodulated carrier tonesinclude received tones and transmitted tones; measuring phase ofreceived tones relative to transmitted tones and gathering frequencydata; and estimating a distance between the vehicle and the portableaccess device based on the measured phases and frequency data.

In other features, the method includes determining whether anotherdevice is attempting to perform a range extender type relay stationattack based on the estimated distance. In other features, the eachselected antenna pair includes linear polarized antennas.

In other features, the algorithm includes switching between the possibleantenna pairs between consecutively transmitted packets. In otherfeatures, the algorithm includes switching between the possible antennapairs during transmission of a portion of a packet. In other features,the portion of the packet is a continuous wave tone.

In other features, certain ones of the possible antenna pairs includetwo antennas that are collocated.

In other features, the method further includes: transmitting packets tothe portable access device; measuring time-of-flight values for thepackets based on response signals received from the portable accessdevice, where the response signals are transmitted based on the packets;based on the time-of-flight values, determining whether the anotherdevice is performing a range extender type relay station attack; andpreventing access to an interior of the vehicle in response to detectingthe range extender type relay station attack.

In other features, the portable access device is a key fob or a cellarphone. In other features, the method further includes encrypting anidentifier of the best antenna pair. The transmission of the one or moreadditional packets includes the encrypted identifier of the best antennapair.

In other features, a vehicle system for communicating with a portableaccess device is provided. The vehicle system includes antennas withdifferent polarized axes and an access module. The access module isconfigured to iteratively perform an algorithm. The algorithm includes aseries of operations including: selecting a frequency from multiplefrequencies; selecting an antenna pair from the antennas with differentpolarized axes; transmitting a packet to the portable access device viathe selected antenna pair; receiving a first RSSI and a response signalfrom the portable access device, where the first RSSI corresponds to thetransmission of the packet; and measuring a second RSSI of the responsesignal. The access module is configured to: based on the first RSSIs andthe second RSSIs, select a best one of the frequencies and a bestantenna pair of the antenna pairs; and transmit one or more additionalpackets using the selected best frequency and the selected best antennapair.

In other features, the access module is configured to: measuretime-of-flight of the one or more additional packets including time totransmit the one or more additional packets to the portable accessdevice and time to receive one or more responses from the portableaccess device; and based on the measured time-of-flight, estimate adistance between the vehicle and the portable access device.

In other features, the access module is configured to: exchange multiplepairs of unmodulated carrier tones with the portable access device atmultiple frequencies, where the unmodulated carrier tones includereceived tones and transmitted tones; measure the phases of the receivedtones relative to the transmitted tones; gather the measured phases andfrequency data; and estimate distance between the vehicle and theportable access device using the measured phases and the frequency data.

In other features, the access module is configured to detect whether theportable access device is attempting to perform a range extender typerelay station attack based upon the estimated distance.

In other features, the access module is configured to detect whether adevice is attempting to perform a range extender type relay stationattack based upon the estimated distance.

In other features, the access module is configured to, if the portableaccess device is attempting to perform a range extender type relaystation attack, perform a countermeasure including preventing access tothe interior of the vehicle.

In other features, the countermeasure includes notifying an owner of thevehicle of the range extender type relay station attack. In otherfeatures, the portable access device is a key fob or a cellar phone.

In other features, the portable access device is configured to encryptan identifier of the best antenna pair. The transmission of the one ormore additional packets includes the encrypted identifier of the bestantenna pair.

In other features, a system for detecting a range extension type relayattack is provided. The system includes a first transmitter, a receiverand a first module. The first transmitter is configured to transmit afirst radio frequency signal from one of a vehicle and a portable accessdevice to the other one of the vehicle and the portable access device.The receiver is configured to receive a first response signal from oneof the vehicle and the portable access device in response to the firstradio frequency signal. The first module is configured to: monitor orgenerate one or more parameters associated with the transmission of thefirst radio frequency signal and the reception of the first responsesignal; based on the one or more parameters, detect the range extensiontype relay attack performed by an attacking device to obtain at leastone of access to or operational control of the vehicle, where at leastone of (i) the first radio frequency signal is relayed via the attackingdevice from the vehicle to the portable access device, or (ii) the firstresponse signal is relayed via the attacking device from the portableaccess device to the vehicle; and perform a countermeasure in responseto detecting the range extension type relay attack.

In other features, the first module is implemented at the vehicle. Inother features, the first module is implemented at the portable accessdevice.

In other features, the first module is configured to: measure a roundtrip time of the first radio frequency signal; and based on the roundtrip time, detect the range extension type relay attack.

In other features, the first module is configured to: transmit a secondradio frequency signal and receive a second response signal, prior totransmission of the first radio frequency signal and reception of thefirst response signal; monitor at least one of a first received signalstrength indicator of the second radio frequency signal or a secondreceived signal strength indicator of the second response signal; andbased on at least one of the first received signal strength indicator orthe second received signal strength indicator, determine at least one ofa path, a frequency, a channel, or an antenna pair for transmission ofthe first radio frequency signal and reception of the first responsesignal.

In other features, the first module is configured to: transmit a secondradio frequency signal and receive a second response signal, prior totransmission of the first radio frequency signal and reception of thefirst response signal; monitor an antenna polarization statuscorresponding to at least one of the second radio frequency signal orthe second response signal; and based on the antenna polarization statusof the at least one of the first radio frequency signal or the firstresponse signal, determine at least one of a path, a frequency, achannel, or an antenna pair for transmission of the first radiofrequency signal and reception of the first response signal.

In other features, the first module is configured to transmit the firstradio frequency signal while receiving the first response signal or asecond radio frequency signal from one of the vehicle and the portableaccess device.

In other features, the first module is configured to receive the firstresponse signal while receiving a second radio frequency signal from oneof the vehicle and the portable access device.

In other features, the first module is configured to: determine a seriesof randomly selected frequencies or channels; share the series ofrandomly selected frequencies or channels with one of vehicle and theportable access device; and transmit the first radio frequency signaland receive the first response signal based on the randomly selectedfrequencies or channels.

In other features, the first module is configured to: randomize accessaddresses for the vehicle or the portable access device; share therandomized access addresses with the portable access device; andgenerate the first radio frequency signal to include one of the accessaddresses.

In other features, the first module is configured to: measure a lengthof at least one bit of the first response signal; and detect the rangeextension type relay attack based on the length of the at least one bit.

In other features, the first module is configured to: monitor slopes ofthe rising and falling edges of the first response signal; and detectthe range extension type relay attack based on the slopes.

In other features, the first module is configured to: use a slidingcorrelation function to align the first response signal with anidealized Gaussian waveform for a known bit pattern and bit rateincluding scaling peaks and aligning zero offsets; and based on thealignment, detect the range extension type relay attack.

In other features, the first module is configured to: accumulateportions of the first response signal that are early after a zerocrossing and before a next peak of a predetermined waveform; determiningan average based on the accumulated portions; and detect the rangeextension type relay attack based on the average.

In other features, the first module is configured to: accumulateportions of the first response signal that are late after a peak andbefore a next zero crossing of a predetermined waveform; determining anaverage based on the accumulated portions; and detect the rangeextension type relay attack based on the average.

In other features, the first module is configured to randomize traveldirection of the first radio frequency signal including whether thefirst radio frequency signal is transmitted from the vehicle to theportable access device or from the portable access device to thevehicle.

In other features, the countermeasure includes preventing at least oneof access to or operation control of the vehicle.

In other features, the system further includes a second transmitterconfigured to transmit a dummy signal while the first transmittertransmits the first radio frequency signal or the receiver receives thefirst response signal.

In other features, the system includes: the first module implemented atthe vehicle; and the portable access device including a second module.The first module is configured to transmit the first radio frequencysignal to the portable access device and receive the first responsesignal from the portable access device. The second module is configuredto transmit a second radio frequency signal to the vehicle and receive asecond response signal from the vehicle. At least one of the firstmodule transmits the first radio frequency signal while the secondmodule transmits the first response signal or the second radio frequencysignal, or the first module receives the first response signal while thesecond module transmits the second radio frequency signal.

In other features, the first module and second module are configured to:exchange at least three pairs of radio signals containing sections ofunmodulated carrier tones, where the unmodulated carrier tones includereceived tones and transmitted tones; and measure phases of the receivedtones relative to the transmit tones. One or more of the first moduleand the second module is configured to: gather frequency and phaseinformation; and estimate the distance between the first module and thesecond module based upon the phase and frequency information.

In other features, the one or more of the first module and the secondmodule is configured to use the estimated distance to detect a rangeextension type relay attack.

In other features, a method of detecting a range extension type relayattack is provided. The method includes: transmitting, via atransmitter, a radio frequency signal from one of a vehicle and aportable access device to the other one of the vehicle and the portableaccess device; receiving, via a receiver, a response signal from one ofthe vehicle and the portable access device in response to the radiofrequency signal; monitoring or generating one or more parametersassociated with the transmission of the radio frequency signal and thereception of the response signal; and based on the one or moreparameters, detecting the range extension type relay attack performed byan attacking device to obtain at least one of access to or operationalcontrol of the vehicle. At least one of (i) the radio frequency signalis relayed via the attacking device from the vehicle to the portableaccess device, or (ii) the response signal is relayed via the attackingdevice from the portable access device to the vehicle. The methodfurther includes: performing a countermeasure in response to detectingthe range extension type relay attack; measuring a round trip time ofthe radio frequency signal; monitoring at least one of a first receivedsignal strength indicator of the radio frequency signal or a secondreceived signal strength indicator of the response signal; and based onthe round trip time, detecting the range extension type relay attack.

In other features, a system for accessing or providing operationalcontrol of a vehicle is provided. The system includes a master deviceincluding: a first antenna module including first antennas withdifferent polarized axes; a transmitter configured to transmit achallenge signal via the first antenna module from the vehicle to aslave device, where the slave device is a portable access device; and afirst receiver configured to receive a response signal in response tothe challenge signal from the slave device. The system further includesa first sniffer device including: a second antenna module includingsecond antennas with different polarized axes; and a second receiverconfigured to receive, via the second antenna module, the challengesignal from the transmitter and the response signal from the slavedevice. The first sniffer device is configured to measure when thechallenge signal and the response signal arrive at the first snifferdevice to provide arrival times. The master device or the first snifferdevice is configured to (i) estimate at least one of a distance from thevehicle to the slave device or a location of the slave device relativeto the vehicle based on the arrival times, and (ii) prevent at least oneof access to or operation control of the vehicle based on the estimatedat least one of the distance or the location.

In other features, the master device or the first sniffer device isconfigured to: determine a round trip time associated with thetransmission of the challenge signal based on the arrival times; andbased on the round trip time, detect a range extension type relay attackperformed by an attacking device to obtain at least one of access to oroperational control of the vehicle. The response signal is relayed bythe attacking device from the slave device to the vehicle and altered bythe attacking device. The master device is configured to perform acountermeasure in response to detecting the range extension type relayattack.

In other features and at any moment in time, at least one of the firstantennas of the first antenna module is not cross-polarized with atleast one of the second antennas of the second antenna module.

In other features and at any moment in time, at least one of the firstantennas of the first antenna module is not cross-polarized with anantenna of the slave device.

In other features, the master device or the first sniffer device isconfigured to: determine a first amount of time for the first snifferdevice to receive the challenge signal and a second amount of time forthe sniffer device to receive the response signal; and based on thefirst amount of time and the second amount of time, estimate thedistance.

In other features, the system further includes a second sniffer and athird sniffer. The second sniffer device includes a third antenna moduleincluding third antennas and a third receiver configured to receive, viathe third antenna module, the challenge signal from the transmitter andthe response signal from the slave device. The third sniffer deviceincludes a fourth antenna module including fourth antennas and a fourthreceiver configured to receive, via the fourth antenna module, thechallenge signal from the transmitter and the response signal from theslave device. The second sniffer device is configured to measure whenthe challenge signal and the response signal arrive at the secondsniffer device to provide arrival times. The third sniffer device isconfigured to measure when the challenge signal and the response signalarrive at the third sniffer device to provide arrival times. The masterdevice, the first sniffer device, the second sniffer device, or thethird sniffer device is configured to estimate the location based on thearrival times provided by the first sniffer device, the arrival timesprovided by the second sniffer device, and the arrival times provided bythe third sniffer device.

In other features, the first sniffer device is configured to determine afirst amount of time for the first sniffer device to receive theresponse signal. The second sniffer device is configured to determine asecond amount of time for the second sniffer device to receive theresponse signal. The third sniffer device is configured to determine athird amount of time for the third sniffer device to receive theresponse signal. The master device, the first sniffer device, the secondsniffer device, or the third sniffer device is configured to estimatethe location based on the first amount of time, the second amount oftime and the third amount of time.

In other features, the master device is configured to periodically sendthe challenge signal or other challenge signals to the slave device andreceive respective response signals from the slave device. The firstsniffer device is configured to measure when the challenge signals andthe response signals arrive at the first sniffer device to providecorresponding arrival times. The master device or the first snifferdevice is configured to (i) update the at least one of the distance orthe location based on the arrival times associated with the challengesignals and the response signals, and (ii) prevent at least one ofaccess to or operation control of the vehicle based on the at least oneof the updated distance or the updated location.

In other features, a method for accessing or providing operationalcontrol of a vehicle is provided. The method includes: transmitting achallenge signal via a first antenna module from a master device of thevehicle to a slave device, where the first antenna module includes firstantennas with different polarized axes; receiving at a first receiver aresponse signal in response to the challenge signal from the slavedevice; receiving at a first sniffer device, via a second antenna moduleand a second receiver, the challenge signal from the master device andthe response signal from the slave device, where the second antennamodule includes second antennas with different polarized axes; measuringwhen the challenge signal and the response signal are received at thefirst sniffer device to provide arrival times via the first snifferdevice; estimating at least one of a distance from the vehicle to theslave device or a location of the slave device relative to the vehiclebased on the arrival times; and preventing at least one of access to oroperation control of the vehicle based on the estimated at least one ofthe distance or the location.

In other features, the method includes: determining a round trip timeassociated with the transmission of the challenge signal based on thearrival times; based on the round trip time, detecting a range extensiontype relay attack performed by an attacking device to obtain at leastone of access to or operational control of the vehicle, where theresponse signal is relayed via the attacking device from the slavedevice to the vehicle and altered by the attacking device; andperforming a countermeasure in response to detecting the range extensiontype relay attack.

In other features and at any moment in time, at least one of the firstantennas of the first antenna module is not cross-polarized with atleast one of the second antennas of the second antenna module.

In other features and at any moment in time, at least one of the firstantennas of the first antenna module is not cross-polarized with anantenna of the slave device.

In other features, the method further includes: determining a firstamount of time for the first sniffer device to receive the challengesignal and a second amount of time for the sniffer device to receive theresponse signal; and based on the first amount of time and the secondamount of time, estimating the distance.

In other features, the method further includes: receiving at a thirdreceiver of a second sniffer device, via a third antenna module, thechallenge signal from the transmitter and the response signal from theslave device, where the third antenna module includes a third antennaswith different polarized axes; and receiving at a fourth receiver of athird sniffer device, via a fourth antenna module, the challenge signalfrom the transmitter and the response signal from the slave device. Thefourth antenna module includes fourth antennas with different polarizedaxes. The method further includes: measuring when the challenge signaland the response signal arrive at the second sniffer device to providearrival times via the second sniffer device; measuring when thechallenge signal and the response signal arrive at the third snifferdevice to provide arrival times via the third sniffer device; andestimating the location based on the arrival times provided by the firstsniffer device, the arrival times provided by the second sniffer device,and the arrival times provided by the third sniffer device.

In other features, the method further includes: determining a firstamount of time for the first sniffer device to receive the responsesignal; determining a second amount of time for the second snifferdevice to receive the response signal; determining a third amount oftime for the third sniffer device to receive the response signal; andestimating the location based on the first amount of time, the secondamount of time and the third amount of time.

In other features, periodically sending from the master device thechallenge signal or other challenge signals to the slave device andreceiving respective response signals from the slave device; measuringat the first sniffer device when the challenge signals and the responsesignals arrive at the first sniffer device to provide correspondingarrival times; updating the at least one of the distance or the locationbased on the arrival times associated with the challenge signals and theresponse signals; and preventing at least one of access to or operationcontrol of the vehicle based on the at least one of the updated distanceor the updated location.

In other features, a system for accessing or providing operationalcontrol of a vehicle is provided. The system includes a first networkdevice and a control module. The first network device includes a firstantenna module, a transmitter and a receiver. The first antenna moduleincludes antennas with different polarized axes. The transmitter isconfigured to transmit a series of tones via the first antenna modulefrom the vehicle to a second network device and change the frequenciesof the tones during the transmission of the series of tones. At anymoment in time, at least one of the antennas of the first antenna moduleis not cross-polarized with an antenna of the second network device. Thereceiver is configured to receive the series of tones from the secondnetwork device. The control module is configured to (i) determinedifferences in phases of the series of tones versus differences infrequencies of the series of tones, (ii) based on the differences in thephases and the differences in the frequencies, determine a distancebetween the first network device and the second network device, and(iii) prevent at least one of access to or operation control of thevehicle based on the distance.

In other features, the control module is configured to: for each of thetones, change a corresponding frequency during transmission of thattone; generate curves respectively for the tones relating changes inphases of each of the tones to changes in frequencies; determine slopesof the curves; and determine the distance based on the slopes of thecurves.

In other features, the control module randomizes a channel selected forthe transmission of the series of tones.

In other features, the control module randomizes a direction that tonesare transmitted between the first network device and the second networkdevice. The tones include one or more of the tones in the series oftones.

In other features, the control module is configured to: transmit andreceive series of tones via the transmitter and the receiver; and basedon differences in phases and corresponding differences in frequencies ofthe series of tones, determine the distance.

In other features, the system further includes the second networkdevice. The first network device includes a first tone exchangeresponder and a first tone exchange initiator. The first tone exchangeinitiator includes the transmitter. The first tone exchange responderincludes the receiver. The second network device includes a second toneexchange responder and a second tone exchange initiator. The second toneexchange responder responds to the series of tones by transmitting theseries of tones or a second series of tones back to the first toneexchange initiator. The second tone exchange initiator transmits a thirdseries of tones to the first tone exchange responder.

In other features, the control module is configured to determine thedistance based on at least one of (i) differences in phases of thesecond series of tones versus differences of frequencies of the secondseries of tones, or (ii) differences in phases of the third series oftones versus differences of frequencies of the third series of tones.

In other features, the first network device is implemented within thevehicle. The second network device is a portable access device.

In other features, the first network device simultaneously transmits twosymbols on two different frequencies to the second network device. Thetwo symbols are each less than or equal to 1 μs in length to prevent asuccessful attack.

In other features, clock timing of the first network device and thesecond network device are synchronized. The first network devicetransmits a first symbol to the second network device on a firstfrequency. The second network device transmits a second symbol to thefirst network device simultaneously with the transmission of the firstsymbol by the first network device to the second network device. Thefirst symbol and the second symbol are each less than or equal to 1 μsin length to prevent a successful attack.

In other features, a method of accessing or providing operationalcontrol of a vehicle is provided. The method includes: transmitting aseries of tones from a first network device via a transmitter and afirst antenna module to a second network device and change thefrequencies of the tones during the transmission of the series of tones,where the first antenna module including antennas, and where, at anymoment in time, at least one of the antennas of the first antenna moduleis not cross-polarized with an antenna of the second network device;receiving at a receiver in the vehicle the series of tones from thesecond network device; determining differences in phases of the seriesof tones versus differences in frequencies of the series of tones; basedon the differences in the phases and the differences in the frequencies,determining a distance between the first network device and the secondnetwork device; and preventing at least one of access to or operationcontrol of the vehicle based on the distance.

In other features, the method further includes: for each of the tones,changing a corresponding frequency during transmission of that tone;generating curves respectively for the tones relating changes in phasesof each of the tones to changes in frequencies; determining slopes ofthe curves; and determining the distance based on the slopes of thecurves.

In other features, the method further includes randomizing a channelselected for the transmission of the series of tones.

In other features, the method further includes randomizing a directionthat tones are transmitted between the first network device and thesecond network device. The tones include one or more of the tones in theseries of tones.

In other features, the method further includes: transmitting andreceiving a series of tones via the transmitter and the receiver; andbased on differences in phases and corresponding differences infrequencies of the series of tones, determining the distance.

In other features, the method further includes: responding to the seriesof tones via a second tone exchange responder of the second networkdevice by transmitting the series of tones or a second series of tonesback to a first tone exchange initiator of the first network device,where the first tone exchange initiator includes the transmitter; andtransmitting a third series of tones via a second tone exchangeinitiator of the second network device to a first tone exchangeresponder of the first network device, where the first tone exchangeresponder includes the receiver.

In other features, the method further includes determining the distancebased on at least one of (i) differences in phases of the second seriesof tones versus differences of frequencies of the second series oftones, or (ii) differences in phases of the third series of tones versusdifferences of frequencies of the third series of tones.

In other features, the first network device is implemented in thevehicle. The second network device is a portable access device.

In other features, a system for accessing or providing operationalcontrol of a vehicle is provided. The system includes an initiatordevice and a sniffer device. The initiator device includes: a firstantenna module including multiple polarized antennas; a transmitterconfigured to transmit a first tone signal via the first antenna modulefrom the vehicle to a responder device, where the responder device is aportable access device; a first receiver configured to receive a secondtone signal from the responder device in response to the first tonesignal. The sniffer device includes: a second antenna module includingmultiple polarized antennas; and a second receiver configured toreceive, via the second antenna module, the first tone signal from thetransmitter and the second tone signal from the responder device. Thesniffer device is configured to determine states of the first tonesignal and the second tone signal including respective phase delays. Theinitiator device or the sniffer device is configured to (i) estimate atleast one of a first distance from the vehicle to the responder deviceor a second distance from the responder device to the sniffer devicebased on the states of the first tone signal and the second tone signalincluding respective phase delays, and (ii) prevent at least one ofaccess to or operation control of the vehicle based on the estimated atleast one of the first distance or the second distance.

In other features, the initiator device or the sniffer device isconfigured to estimate the first distance and the second distance andprevent at least one of access to or operation control of the vehiclebased on the first distance and the second distance.

In other features, the initiator device or the sniffer device isconfigured to based on at least one of the first distance or the seconddistance, detect a range extension type relay attack performed by anattacking device to obtain at least one of access to or operationalcontrol of the vehicle. The second tone signal is relayed from theresponder device to the vehicle and altered by the attacking device. Theinitiator device is configured to perform a countermeasure in responseto detecting the range extension type relay attack.

In other features and at any moment in time, at least one of themultiple polarized antennas of the first antenna module is notcross-polarized with at least one of the multiple polarized antennas ofthe second antenna module.

In other features and at any moment in time, at least one of themultiple polarized antennas of the first antenna module is notcross-polarized with an antenna of the responder device.

In other features, the initiator device or the sniffer device isconfigured to: based on the state of the first tone signal when receivedat the responder device, determine a first amount of time for the firsttone signal to travel from the initiator device to the responder device;based on the state of the second tone signal when received at thesniffer device, determine a second amount of time for the second tonesignal to travel from the responder device to the sniffer device; andbased on the first amount of time and the second amount of time,estimate the first distance and the second distance.

In other features, the initiator device or the sniffer device isconfigured to: generate a first representation of the first tone signalwhen received at the responder device in natural logarithmic form;generate a second representation of the first tone signal when receivedat the sniffer device in natural logarithmic form; generate a thirdrepresentation of the second tone signal when received at the snifferdevice in natural logarithmic form; and based on the firstrepresentation, the second representation and the third representation,estimate the first distance and the second distance.

In other features, a method for accessing or providing operationalcontrol of a vehicle is provided. The method includes: transmitting afirst tone signal via a first antenna module from an initiator device ofthe vehicle to a responder device, where the first antenna moduleincluding multiple polarized antennas, and where the responder device isa portable access device; receiving at the initiator device a secondtone signal from the responder device in response to the first tonesignal; receiving at a sniffer device and via a second antenna module,the first tone signal from the transmitter and the second tone signalfrom the responder device, where the second antenna module includingmultiple polarized antennas; determining at the sniffer device states ofthe first tone signal and the second tone signal including respectivephase delays; estimating at least one of a first distance from thevehicle to the responder device or a second distance from the responderdevice to the sniffer device based on the states of the first tonesignal and the second tone signal including respective phase delays; andpreventing at least one of access to or operation control of the vehiclebased on the estimated at least one of the first distance or the seconddistance.

In other features, the method includes: estimating the first distanceand the second distance; and preventing at least one of access to oroperation control of the vehicle based on the first distance and thesecond distance.

In other features, the method further includes: based on at least one ofthe first distance or the second distance, detecting a range extensiontype relay attack performed by an attacking device to obtain at leastone of access to or operational control of the vehicle, where the secondtone signal is relayed from the responder device to the vehicle andaltered by the attacking device; and performing a countermeasure inresponse to detecting the range extension type relay attack.

In other features and at any moment in time, at least one of themultiple polarized antennas of the first antenna module is notcross-polarized with at least one of the linear polarized antenna or themultiple polarized antennas.

In other features and at any moment in time, at least one of themultiple polarized antennas of the first antenna module is notcross-polarized with an antenna of the responder device.

In other features, the method further includes: based on the state ofthe first tone signal when received at the responder device, determininga first amount of time for the first tone signal to travel from theinitiator device to the responder device; based on the state of thesecond tone signal when received at the sniffer device, determining asecond amount of time for the second tone signal to travel from theresponder device to the sniffer device; and based on the first amount oftime and the second amount of time, estimating the first distance andthe second distance.

In other features, a system for accessing or providing operationalcontrol of a vehicle is provided. The system includes a first networkdevice and a control module. The first network device includes a firstantenna module and a control module. The first antenna module includesmultiple polarized antennas; a transmitter configured to transmit aninitiator packet via the first antenna module from the vehicle to asecond network device, where the initiator packet includes asynchronization access word and a first continuous wave (CW) tone, whereone of the first network device and the second network device isimplemented within the vehicle, and where the other one of the firstnetwork device and the second network device is a portable accessdevice, and where, at any moment in time, at least one of the multiplepolarized antennas of the first antenna module is not cross-polarizedwith an antenna of the second network device; and a receiver configuredto receive a response packet from the second network device, where theresponse packet includes the synchronization access word and the firstCW tone. The control module is configured to (i) determine a differencein round trip timing between the initiator packet and the responsepacket to be greater than a predetermined threshold, (ii) based ondifference in timing being greater than the predetermined threshold,detect a range extension type relay attack performed by an attackingdevice to obtain at least one of access to or operational control of thevehicle, and (iii) in response to detecting the range extension typerelay attack, prevent at least one of access to or operation control ofthe vehicle.

In other features, the control module is configured to: based on theinitiator packet, determine a start time and an end time for thesynchronization access word; and detect the difference in timing basedon the start time and the end time.

In other features, the control module is configured to: based on theinitiator packet, determine a start time and end time for thesynchronization access word relative to the first CW tone of theresponse packet; determine if a start time and end time of thesynchronization access word of the response packet match the determinedstart time and end time; and detect the difference in timing if thestart time and end time of the synchronization access word of theresponse packet do not match the determined start time and end time.

In other features, the control module is configured to: determine afirst length of the synchronization access word of the initiator packet;compare the first length to a second length of the synchronizationaccess word of the response packet; and if a difference between thefirst length is more than a predetermined amount different than thesecond length, detect the range extension type relay attack.

In other features, the control module is configured to: determine afirst length of the first CW tone of the initiator packet; compare thefirst length to a second length of the first CW tone of the responsepacket; and if a difference between the first length is more than apredetermined amount different than the second length, detect the rangeextension type relay attack.

In other features, the first CW tone of the initiator packet is at anend of the initiator packet; and the first CW tone of the responsepacket is at a beginning of the response packet.

In other features, the initiator packet includes a second CW tone. Theresponse packet includes the second CW tone.

In other features, the first CW tone of the initiator packet is at abeginning of the initiator packet. The second CW tone of the initiatorpacket is at an end of the initiator packet. The first CW tone of theresponse packet is at a beginning of the response packet. The second CWtone of the response packet is at an end of the response packet.

In other features, the initiator packet and the response packet have asame format.

In other features, the response packet indicates an amount of phasedifference between the second CW tone of the initiator packet and thefirst CW tone of the response packet. The first CW tone of the responsepacket is in a phase relationship with a phase locked loop of theresponder.

In other features, the control module is configured to determine thephase difference between the first CW tone of the response packet andthe second CW tone of the initiator packet. The second CW tone of theinitiator packet is in a phase relationship with a phase locked loop ofthe initiator. The first device and second device are configured todetermine a phase difference for a second frequency and a phasedifference for a third frequency. The control module is configured todetermine a distance between the devices based on (i) the phasedifference between the first CW tone and the second CW tone, (ii) thephase difference for the second frequency, and (iii) the phasedifference for the third frequency.

In other features, the control module is configured to compare afrequency, power levels, bits and amplitudes of a portion of a receivedsignal including the response packet to a frequency, power levels, bitsand amplitudes of a portion of a transmitted signal including theinitiator packet, and based on resultant differences, determine if therange extension type relay attack has occurred.

In other features, a method for accessing or providing operationalcontrol of a vehicle is provided. The method includes: transmitting aninitiator packet via a first antenna module of a first network devicefrom the vehicle to a second network device, where the first antennamodule including multiple polarized antennas, where the initiator packetincludes a synchronization access word and a first continuous wave (CW)tone, where one of the first network device and the second networkdevice is implemented within the vehicle, and where the other one of thefirst network device and the second network device is a portable accessdevice, and where, at any moment in time, at least one of the multiplepolarized antennas of the first antenna module is not cross-polarizedwith an antenna of the second network device; receiving a responsepacket from the second network device, where the response packetincludes the synchronization access word and the first CW tone;determining a difference in timing between the initiator packet and theresponse packet to be greater than a predetermined threshold; based ondifference in timing being greater than the predetermined threshold,detecting a range extension type relay attack performed by an attackingdevice to obtain at least one of access to or operational control of thevehicle; and in response to detecting the range extension type relayattack, preventing at least one of access to or operation control of thevehicle.

In other features, the method further includes: based on the initiatorpacket, determining a start time and an end time for the synchronizationaccess word; and detecting the difference in timing based on the starttime and the end time.

In other features, the method further includes: based on the initiatorpacket, determining a start time and end time for the synchronizationaccess word relative to the first CW tone of the response packet;determining if a start time and end time of the synchronization accessword of the response packet match the determined start time and endtime; and detecting the difference in timing if the start time and endtime of the synchronization access word of the response packet do notmatch the determined start time and end time.

In other features, the first CW tone of the initiator packet is at anend of the initiator packet; and the first CW tone of the responsepacket is at a beginning of the response packet.

In other features, the initiator packet includes a second CW tone. Theresponse packet includes the second CW tone. The first CW tone of theinitiator packet is at a beginning of the initiator packet. The secondCW tone of the initiator packet is at an end of the initiator packet.The first CW tone of the response packet is at a beginning of theresponse packet. The second CW tone of the response packet is at an endof the response packet.

In other features, the method further includes determining a round triptime of the initiator packet based on an amount of phase delay. Theresponse packet indicates the amount of phase delay between the first CWtone of the initiator packet and the first CW tone of the responsepacket.

In other features, a system for detecting a range extension type relayattack is provided. The system includes a transmitter, a receiver and acontrol module. The transmitter is configured to transmit a radiofrequency signal from one of a vehicle and a portable access device tothe other one of the vehicle and the portable access device. Thereceiver is configured to receive a response signal from one of thevehicle and the portable access device in response to the radiofrequency signal. The control module is configured to: convert theresponse signal to an in-phase signal and a quadrature-phase signal;based on the radio frequency signal, the in-phase signal and thequadrature-phase signal, detect the range extension type relay attackperformed by an attacking device to obtain at least one of access to oroperational control of the vehicle, where at least one of (i) the radiofrequency signal is relayed via the attacking device from the vehicle tothe portable access device, or (ii) the response signal is relayed viathe attacking device from the portable access device to the vehicle; andperform a countermeasure in response to detecting the range extensiontype relay attack.

In other features, the system further includes an antenna module. Theantenna module is implemented at the one of the vehicle and the portableaccess device where the transmitter and the receiver are implemented.The antenna module includes multiple polarized antennas. At any momentin time, at least one of the multiple polarized antennas of the antennamodule is not cross-polarized with an antenna of the other one of thevehicle and the portable access device.

In other features, the control module is implemented at the vehicle. Inother features, the control module is implemented at the portable accessdevice.

In other features, the control module is configured to: determine adifference in phase based on the in-phase signal and thequadrature-phase signal; measure a round trip time of the radiofrequency signal based on the difference in phase; and based on theround trip time, detect the range extension type relay attack.

In other features, the control module is configured to: sample thein-phase signal and the quadrature-phase signal; and determine receivedbits based on the in-phase signal and the quadrature-phase signal.

In other features, the control module is configured to: up-sample thereceived bits on the in-phase signal and the quadrature-phase signal;up-sample another signal; cross-correlate results of the up-sampling thereceived bits based on the in-phase signal and the quadrature-phasesignal with results of up-sampling the another signal; and determine thephase based on the results of the cross-correlation.

In other features, the another signal includes a reference bit pattern.The control module is configured to determine a sign of thedifferentiated arctangent signal, and based on the sign generate thereference bit pattern. In other features, the another signal includesthe radio frequency signal after being filtered via a Gaussian low passfilter.

In other features, a method for detecting a range extension type relayattack is provided. The method includes: transmitting via a transmittera radio frequency signal from one of a vehicle and a portable accessdevice to the other one of the vehicle and the portable access device;receiving a response signal via a receiver from one of the vehicle andthe portable access device in response to the radio frequency signal;converting via a control module the response signal to an in-phasesignal and a quadrature-phase signal; based on the radio frequencysignal, the in-phase signal and the quadrature-phase signal, detectingvia the control module the range extension type relay attack performedby an attacking device to obtain at least one of access to oroperational control of the vehicle, where at least one of (i) the radiofrequency signal is relayed via the attacking device from the vehicle tothe portable access device, or (ii) the response signal is relayed viathe attacking device from the portable access device to the vehicle; andperforming a countermeasure in response to detecting the range extensiontype relay attack.

In other features, an antenna module is implemented at the one of thevehicle and the portable access device where the transmitter and thereceiver are implemented. The antenna module includes multiple polarizedantennas. At any moment in time, at least one of the multiple polarizedantennas of the antenna module is not cross-polarized with an antenna ofthe other one of the vehicle and the portable access device.

In other features, the control module is implemented at the vehicle. Inother features, the control module is implemented at the portable accessdevice.

In other features, the method further includes: determining a differencein phase based on the in-phase signal and the quadrature-phase signal;measuring a round trip time of the radio frequency signal based on thedifference in phase; and based on the round trip time, detecting therange extension type relay attack.

In other features, the method further includes: sampling the in-phasesignal and the quadrature-phase signal; and determining received bitsbased on the in-phase signal and the quadrature-phase signal.

In other features, the method further includes: up-sampling the receivedbits based on the in-phase signal and the quadrature-phase signal;cross-correlating results of the up-sampling the received bit withresults of up-sampling the another signal; and determining the phasebased on the results of the cross-correlation. In other features, theanother signal includes a reference bit pattern. In other features, theanother signal includes the radio frequency signal after being filteredvia a Gaussian low pass filter.

Further areas of applicability of the present disclosure will becomeapparent from the detailed description, the claims and the drawings. Thedetailed description and specific examples are intended for purposes ofillustration only and are not intended to limit the scope of thedisclosure.

BRIEF DESCRIPTION OF THE DRAWINGS

The present disclosure will become more fully understood from thedetailed description and the accompanying drawings, wherein:

FIG. 1 is a side view of an object illustrating a RF primary higherpower signal traveling along a bounce path due to cross-polarization ofRF antennas;

FIG. 2 is a functional block diagram of an example of a vehicle accesssystem including an access module, RF antennas, and portable accessdevices in accordance with an embodiment of the present disclosure;

FIG. 3 is a functional block diagram of an example of a vehicleincluding the access module of FIG. 2 in accordance with an embodimentof the present disclosure;

FIG. 4 is a functional block diagram of an example of the access moduleof FIG. 2 in accordance with an embodiment of the present disclosure;

FIG. 5 is a functional block diagram of an example of a RF antennamodule of a vehicle in accordance with an embodiment of the presentdisclosure;

FIG. 6 is a functional block diagram of an example of a portable networkdevice in accordance with an embodiment of the present disclosure;

FIG. 7 is an example of a polarization axes diagram illustrating apolarization diversity example arrangement in accordance with anembodiment of the present disclosure;

FIG. 8 is an example of a polarization axes diagram illustrating anotherpolarization diversity example arrangement in accordance with anembodiment of the present disclosure;

FIG. 9 is an example electric field diagram and polar coordinate plotillustrating electric field patterns and nulls for a linear antenna;

FIG. 10 is an example voltage versus electric field diagram for alinearly polarized antenna;

FIG. 11A is a top perspective view of an example of at least a portionof a multi-axis polarized RF antenna assembly including a linearpolarized antenna and a circular polarized antenna in accordance with anembodiment of the present disclosure;

FIG. 11B is a bottom perspective view of the at least a portion of themulti-axis polarized RF antenna assembly of FIG. 11A;

FIG. 12 is an example polar coordinate plot of radiated power associatedwith the linear polarized antenna of FIGS. 11A-B;

FIG. 13 is an example polar coordinate plot of radiated power associatedwith the circular polarized antenna of FIGS. 11A-B;

FIG. 14 is a functional block diagram of an example of RF circuits and aportion of a portable access device in accordance with an embodiment ofthe present disclosure;

FIG. 15 is a block diagram of an example of a portion of a key fobhaving two linear polarized slot antennas, metal trim and a spare key inaccordance with an embodiment of the present disclosure;

FIG. 16 is a block diagram of an example of a portion of the key fob ofFIG. 15 without metal trim and a spare key having an x-axis linearpolarized slot antenna and a y-axis linear polarized slot antenna;

FIG. 17 is an example polar coordinate plot of radiated power associatedwith a x-axis linear polarized slot antenna of the portion of the keyfob of FIG. 16 ;

FIG. 18 is an example polar coordinate plot of radiated power associatedwith a y-axis linear polarized slot antenna of the portion of the keyfob of FIG. 16 ;

FIG. 19 is an example of return loss versus frequency plot for thelinear polarized slot antennas of FIG. 16 ;

FIG. 20 is a block diagram of an example of a portion of the key fob ofFIG. 15 without metal trim and including the spare key;

FIG. 21 is an example polar coordinate plot of radiated power associatedwith a x-axis linear polarized slot antenna of the portion of the keyfob of FIG. 20 ;

FIG. 22 is an example polar coordinate plot of radiated power associatedwith a y-axis linear polarized slot antenna of the portion of the keyfob of FIG. 20 ;

FIG. 23 is an example of return loss versus frequency plot for thelinear polarized slot antennas of FIG. 20 ;

FIG. 24 is a block diagram of an example of a portion of the key fob ofFIG. 15 with a portion of the metal trim and the spare key;

FIG. 25 is an example polar coordinate plot of radiated power associatedwith a x-axis linear polarized slot antenna of the portion of the keyfob of FIG. 24 ;

FIG. 26 is an example polar coordinate plot of radiated power associatedwith a y-axis linear polarized slot antenna of the portion of the keyfob of FIG. 24 ;

FIG. 27 is an example of return loss versus frequency plot for thelinear polarized slot antennas of FIG. 24 ;

FIG. 28 is an example polar coordinate plot of radiated power associatedwith a x-axis linear polarized slot antenna of the portion of the keyfob of FIG. 15 ;

FIG. 29 is an example polar coordinate plot of radiated power associatedwith a y-axis linear polarized slot antenna of the portion of the keyfob of FIG. 15 ;

FIG. 30 is an example of a return loss versus frequency plot for thelinear polarized slot antennas of FIG. 15 ;

FIG. 31 is a block diagram of an example of a portion of a key fobhaving a closed linear polarized slot antenna, an open linear polarizedslot antenna, metal trim and a spare key in accordance with anembodiment of the present disclosure;

FIG. 32 is an example polar coordinate plot of radiated power associatedwith a x-axis linear polarized slot antenna of the portion of the keyfob of FIG. 31 ;

FIG. 33 is an example polar coordinate plot of radiated power associatedwith a y-axis linear polarized slot antenna of the portion of the keyfob of FIG. 31 ;

FIG. 34 is an example of return loss versus frequency plot for thelinear polarized slot antennas of FIG. 31 ;

FIG. 35 illustrates a method of determining which antenna combination touse for exchanging packets between RF antenna modules of a vehicle and aportable access device for round trip time-of-flight measurements inaccordance with an embodiment of the present disclosure;

FIG. 36 illustrates another method of determining which antennacombination to use for exchanging packets between RF antenna modules ofa vehicle and a portable access device for round trip time-of-flightmeasurements in accordance with an embodiment of the present disclosure;

FIG. 37 is a time-of-flight measurement diagram;

FIG. 38 is a functional block diagram of an example BLE radio with asuperheterodyne receiver and a transmitter in accordance with anembodiment of the present disclosure;

FIG. 39 is an example GFSK parameters definition plot;

FIG. 40 is a functional block diagram of a system for transmitting BLEpackets;

FIG. 41 shows example preambles and access addresses for BLE packets ofdifferent types;

FIG. 42 is an example plot of BLE packet signals illustratingcorresponding bits;

FIG. 43 is another example plot of other BLE packet signals illustratingcorresponding bits;

FIG. 44 is an overlapping plot of BLE packet signals of FIG. 44 , whereone of the BLE packet signals has been shifted relative to the other oneof the BLE packet signals;

FIG. 45 illustrates an example method of detecting a range extensiontype relay attack in accordance with an embodiment of the presentdisclosure;

FIG. 46 is a functional block diagram of an example of a vehicle and aportable access device including respective round trip time initiatorsand round trip time responders in accordance with an embodiment of thepresent disclosure;

FIG. 47 is a functional block diagram of the vehicle and portable accessdevice of FIG. 46 illustrating radio frequency signal transmissionthrough corresponding antennas;

FIG. 48 is a functional block diagram of the vehicle and portable accessdevice of FIG. 46 experiencing an attack by a range extension type relayattacking device;

FIG. 49 is a functional block diagram of two example BLE radios inaccordance with an embodiment of the present disclosure;

FIG. 50 is a functional block diagram of an example location anddistance determination system including a round trip time sniffer inaccordance with an embodiment of the present disclosure;

FIG. 51 is a functional block diagram of an example location anddistance determination system including multiple round trip timesniffers in accordance with an embodiment of the present disclosure;

FIG. 52 is a functional block diagram of example network devicesconfigured to perform a tone exchange for distance determination andattack detection in accordance with an embodiment of the presentdisclosure;

FIG. 53 is a functional block diagram of an example locationdetermination system including a tone exchange sniffer in accordancewith an embodiment of the present disclosure;

FIG. 54 illustrates a method of determining distances between aninitiator and a responder and between a responder and a sniffer inaccordance with an embodiment of the present disclosure;

FIG. 55 is a functional block diagram of an example passive toneexchange and phase difference detection system in accordance with anembodiment of the present disclosure;

FIG. 56 is a functional block diagram of an example of an active toneexchange and phase difference detection system in accordance with anembodiment of the present disclosure;

FIG. 57 is a diagram of example initiator and responder packets used forRSSI and time-of-flight measurements, where the packet includes acontinuous wave (CW) tone and a preamble in accordance with anembodiment of the present disclosure;

FIG. 58 is a diagram of example initiator and responder packets used forRSSI and time-of-flight measurements, where the packet includes a CWtone and not a preamble in accordance with an embodiment of the presentdisclosure;

FIG. 59 a diagram of example initiator and responder packets used forRSSI and time-of-flight measurements, where the packets are in the sameformat and include multiple CW tones and not a preamble in accordancewith an embodiment of the present disclosure;

FIG. 60 is a diagram illustrating example initiator and response packetshaving a same format in accordance with another embodiment of thepresent disclosure;

FIG. 61 is a functional block diagram of an antenna path determiningsystem for network devices having respective antenna modules inaccordance with another embodiment of the present disclosure;

FIG. 62 is an example radio model corresponding to the structure,function and operation of the BLE radio of FIG. 38 ;

FIG. 63 illustrates a method of exchanging packets between RF antennamodules of BLE radios to detect a range extension type relay attack inaccordance with another embodiment of the present disclosure;

FIG. 64A is an example plot of signals respectively out of a samplingmodule, a Gaussian LPF, and an integrator of the model of FIG. 62 ;

FIG. 64B is an example plot of signals out of a resampling module of themodel of FIG. 62 ;

FIG. 64C is an example plot of a signal out of an arctangent module ofthe model of FIG. 62 ;

FIG. 64D is an example plot of a signal out of a differentiator shownover the signal out of the Gaussian LPF of the model of FIG. 62 ;

FIG. 65 illustrates a representation of different pairs of antenna axisassemblies each of which including two linear polarization antennas inaccordance with another embodiment of the present disclosure;

FIG. 66 illustrates a perspective view of a pair of antenna axisassemblies having a same number of antennas where one of which isdisposed in a metal container and the other of which is external to themetal container in accordance with another embodiment of the presentdisclosure;

FIG. 67 illustrates a perspective view of another pair of antenna axisassemblies having a different number of antennas where one of which isdisposed in a metal container and the other of which is external to themetal container in accordance with another embodiment of the presentdisclosure;

FIG. 68 is a diagram illustrating distance bounding while performing arapid bit exchange, where a prover sequence can be cryptographicallysecure and pre-known, independent of a verifier sequence;

FIG. 69 is a diagram illustrating preventing response bit from beingsent out too soon while performing a rapid bit exchange, where a proversequence can be cryptographically secure and dependent upon a verifiersequence;

FIG. 70 is a side view of multiple antennas illustrating an angle ofarrival;

FIG. 71 illustrates an AOA method including use of a music algorithm inaccordance with the present disclosure;

FIG. 72 is an example plot of covariance in accordance with the presentdisclosure;

FIG. 73 is an example plot of eigenvectors and an array manifoldresponse in accordance with the present disclosure;

FIG. 74 is another example plot of eigenvectors and an array manifoldresponse in accordance with the present disclosure;

FIG. 75 is an example music power spectrum plot in accordance with thepresent disclosure;

FIG. 76 is a functional block diagram of an antenna selection system inaccordance with the present disclosure;

FIG. 77 illustrate an example reconstruction method in accordance withthe present disclosure;

FIG. 78A is a top view of a vehicle illustrating example placement of asensor in accordance with the present disclosure;

FIG. 78B is a side view of the vehicle of FIG. 78A;

FIG. 78C is a rear view of the vehicle of FIG. 78A illustrating bouncereflections and corresponding paths of a transmitted signal detected atthe sensor in accordance with the present disclosure;

FIG. 79A is a top view of a vehicle illustrating another exampleplacement of a sensor in accordance with the present disclosure;

FIG. 79B is a side view of the vehicle of FIG. 79A; and

FIG. 79C is a rear view of the vehicle of FIG. 79A illustrating bouncereflections and corresponding paths of a transmitted signal detected atthe sensor in accordance with the present disclosure.

In the drawings, reference numbers may be reused to identify similarand/or identical elements.

DETAILED DESCRIPTION

RF devices may measure distances by unmodulated carrier tone exchange.For instance in U.S. Pat. No. 8,644,768 B2, which is incorporated hereinby reference, a system and method for distance measurement between twonodes of a radio network is provided that uses unmodulated carrier toneexchange.

RF devices may measure or bound distances by round trip timing of arapid exchange of cryptographically secure messages. For instance, in“Distance-Bounding Protocols (Extended abstract)” by Brands and Chaum inWorkshop on the theory and application of cryptographic techniques onAdvances in cryptology (EUROCRYPT '93), which is also incorporatedherein by reference, a sequences of rapid bit exchanges between averifier and a prover is used. The prover sequence can becryptographically secure and pre-known, independent of the verifiersequence, as illustrated by FIG. 68 . The prover sequence can becryptographically secure and dependent upon the verifier sequence asillustrated by FIG. 69 .

RF devices that measure distance by round trip timing may be subject toearly detect and late commit attacks as described in “Attacks onTime-of-Flight Distance Bounding Channels” by Hancke and Kuhn inproceedings of the first ACM conference on Wireless network security(WiSec '08), which is also incorporated herein by reference. RF devicesthat measure distance by unmodulated carrier tone exchange can besubject to signal delay rollover attacks described in “On the Securityof Carrier Phase-based Ranging” by Olafsdotter, Ranganathan, and Capkunfrom IACR Cryptology ePrint Archive 2016, which is also incorporatedherein by reference.

Although traditional PEPS systems allow for keyless entry and startingof a vehicle, the traditional PEPS systems can be susceptible to rangeextender type relay station attacks. A range extender type relay stationattack may refer to an attacker using a relay device to detect, amplifyand relay signals between a key fob (or other smart portable networkdevice) and a vehicle, such that an access module of the vehicleoperates as if the key fob has approached and is in close proximity tothe vehicle. When the attacker, for example, touches a door handle ofthe vehicle by hand and/or with the relay device, the access module maygenerate and transmit a LF wake-up signal. As a result, the relay devicein effect is detected and the access module transmits the LF wake-upsignal to the key fob, which is received at the relay device. The relaydevice receives, amplifies and forwards (or rebroadcast) the LF wake-upsignal to the actual key fob. The key fob may be, for example, locatedwithin a residential home, whereas the vehicle may be parked outside orin front of the residential home. The key fob may receive the amplifiedwake-up signal and generate a response signal and/or begin communicatingon an RF link. The response signal and/or RF communication signals areamplified and relayed between antennas on the vehicle and one or moreantennas of the key fob. This may be done via the relay device. As aresult, the relay device is seen by the access module as being the keyfob and “tricks” the access module into operating as if the key fob wasin the location of the relay device, which causes the access module toprovide unauthorized access to the interior of the vehicle.

In addition, antenna systems of current PEPS systems may prevent thePEPS system from accurately estimating the distance between the key foband the vehicle and accurately estimating the location of the key fobrelative to the vehicle as further described below. The distance andlocation may be determined based on a time-of-flight measurement.Time-of-flight and corresponding received signal strengths are measured.A received signal strength indicator (RSSI) having the largest magnitudetypically corresponds to a direct or shortest distance between the keyfob and the vehicle. A time-of-flight measurement associated with thelargest RSSI is used to calculate the distance between the key fob andthe vehicle.

The examples set forth herein include combined LF and RF PEPS key fobthat uses RF round trip timing (RTT) measurements to prevent rangeextender type relay station attacks. Other examples include RTTmeasurements, carrier phase based ranging, and a combination of RTTmeasurements and carrier phase based ranging in PEPS systems. Theexamples also set forth numerous other features, which are furtherdescribed below.

FIG. 1 shows an example of when cross-polarization of antennas can causean inaccurate distance determination between a first RF antenna of a keyfob and a second RF antenna of a vehicle. If the first RF antenna of thekey fob is disposed relative to the second RF antenna of the vehicle,such that the first RF antenna is cross-polarized with the second RFantenna, the distance determined corresponds to a bounce path ratherthan a direct path. The antennas are cross-polarized, for example, whenpolarizations of the antennas are perpendicular to each other. Anexample of this is shown in FIG. 1 .

FIG. 1 shows an object 10 and polarization axes 12, 14 of respective RFantennas. The antennas are linear polarized antennas. The first RFantenna has a first polarization axis 12 and is in a vehicle. The secondRF antenna has the second polarization axis 14 and is in a key fob. Dueto relative positions of the first RF antenna, the second RF antenna andthe object 10, RF signals 16 transmitted from the antennas may bounceoff the object 10. Signal energy (or voltage) corresponding to thebounce path is greater than signal energy (or voltage) corresponding toa direct path 18 between the antennas. This is due to cross-polarizationof RF antennas. An access module that determines distance between theantennas based on a signal path having the most signal energy or voltagemay inaccurately determine the distance between the antennas to be thelength of the bounce path 16 rather than a length of the direct path 18.

Aligning the nulls in a co-polarized antenna arrangement also causes abounce path to be used. This occurs when the first and second RFantennas are pointed in the same direction. The antennas may bepositioned such that a line extends longitudinally through the antennas.This is further described with respect to FIGS. 9-10 .

Examples set forth herein include polarization diversity for RF signaltransmission between RF antennas of a vehicle and RF antennas ofportable access devices (e.g., key fobs, mobile phones, wearabledevices, etc.). In addition, the examples include pseudo-randombi-directional data exchanges. Polarization diversity is provided toassure that, at any moment in time, at least one transmitting antennahas at least one polarization axis that is not cross-polarized, but issomewhat co-polarized with a polarization axis of at least one receivingantenna, co-polarized without colinear nulls. As used herein, the phrase“at any moment in time” means at all times while the correspondingdevices are in communication with each other and/or at all times whileone or more signals are being transmitted between the devices and whileone or more signals are being received by one or more of the devices.This, in addition to allowing for accurate distance determinations, alsoaids in preventing range extender type relay station attacks.Pseudo-random bi-directional data exchanges as described below also aidin preventing range extender type relay station attacks.

Example embodiments will now be described more fully with reference tothe accompanying drawings.

FIG. 2 shows a vehicle access system 28 that performs as a PEPS systemand a PAK system. The vehicle access system 28 includes a vehicle 30 andmay include a key fob 32, a mobile phone 34, and/or other portableaccess devices, such as a wearable device, a laptop computer, or otherportable network device. The portable access devices may be, forexample, a Bluetooth®-enabled communication device, such as a smartphone, smart watch, wearable electronic device, key fob, tablet device,or other device associated with a user of the vehicle 30. The user maybe an owner, driver, or passenger of the vehicle 30 and/or a technicianfor the vehicle 30.

The vehicle 30 includes an access module 36, LF antenna modules 38, andRF antenna modules 40. The access module 36 may wirelessly transmit LFsignals via the LF antenna modules 38 to the portable network devicesand may wireless communicate with the portable access devices via the RFantenna modules 40. The RF antenna modules 40 provide polarizationdiversity between each of the antennas of the portable network devicesand the antennas of the RF antenna modules 40. Polarization diversity asfurther described below provides a minimum number, combination andarrangement of polarization axes at the portable network devices and thevehicle 30 to assure, at any moment in time, at least one transmittingantenna has at least one polarization axis that is not cross-polarizedwith a polarization axis of at least one receiving antenna. In otherwords, at any moment in time, at least one RF antenna of the vehicle hasat least one polarization axis that is not cross-polarized with apolarization axis of at least one RF antenna of each of the portableaccess devices. Although particular numbers of LF antenna modules and RFantenna modules are shown, any number of each may be utilized.

The access module 36 may communicate with the LF antenna modules 38 andthe RF antenna modules 40 wirelessly and/or via a vehicle interface 45.As an example, the vehicle interface 45 may include a controller areanetwork (CAN) bus, a local interconnect network (LIN) for lowerdata-rate communication, a clock extension peripheral interface (CXPI)bus and/or one or more other vehicle interfaces.

The LF antenna modules 38 may be at various locations on the vehicle andtransmit low frequency signals (e.g., 125 kHz signals). Each of the LFantenna modules includes an LF antenna and may include a control moduleand/or other circuitry for LF signal transmission. The RF antennamodules 40 may also be located at various locations on the vehicle andtransmit RF signals, such as Bluetooth low energy (BLE) signalsaccording to BLE communication protocols. Alternatively, the RF antennamodules 40 may communicate according to other wireless communicationprotocols, such as wireless fidelity (Wi-Fi). An example of the antennasis shown in FIG. 11 (referring to collectively FIGS. 11A and 11B).

In one embodiment and to improve signal coverage relative to the vehicleand improve transmission and reception characteristics, the RF antennamodules 40 are located in a roof 46 of the vehicle 30. As an example,each of the RF antenna modules 40 may include a pair of RF antennas, onelinear polarized antenna and one circular polarized antenna. The numberand location of the RF antenna modules may be preselected based on thesize and shape of the vehicle 30. In one embodiment, two RF antennamodules are included and spaced apart from each other as shown in FIG. 2, such that the corresponding electric fields overlap each other extendin a pattern 360° around the vehicle and past an outer perimeter of thevehicle. The electric fields provide a resultant electric field as shownin FIG. 1 , which is represented by dashed circles 48. The dashedcircles provide an overall shape that is “rectangular-like”. In largervehicles more antenna modules 40 may be added to make the shape more“rectangular-like”. In a small vehicle only one of the RF antennamodules 40 may be included.

A different number of antennas having a different number of antennapolarizations may be utilized. FIGS. 65-67 illustrate some other exampleantenna implementations. FIGS. 65-67 include fewer antennas and antennapolarizations, which are used to measure or bound distances when adiverse set of frequencies and/or RF channels are used to measure orbound distances and/or reflections off metal in a vehicle. This is doneto create virtual polarization diversity. The antenna systems are ableto tolerate some rate of false measurement due to cross-polarizationand/or alignment of nulls. In FIGS. 65-67, 7100A-J refer to antenna axisassemblies, 7100A-71001 refer to antenna axis assemblies with twopolarized axes, and 7100J refers to an antenna axis assembly with onepolarized axis. The numerical designators 7101A-71011 and 7102A-71021refer to the polarized antenna axes of two polarized antenna axisassemblies. The numerical designator 7101J refers to a single polarizedaxis of 7100J. Numerical designators 7103AB, 7103CD, 7103EF, 7103GH, and7103JI refer to RF paths between a pair of antenna assemblies. Many RFpaths exist between the antenna axes, some with more link margin, somewith less, some with more phase rotation time delay, and some with less.Different round trip timing and unmodulated carrier tone exchangeranging algorithms disclosed, described and/or referred to herein havethe capability to find or measure shorter paths that are some number ofdecibels (dB) up or down in link margin compared to the highest-linkmargin path, which may not be the shortest. The more round trip timingor tone exchange measurements that are taken, across more frequencies(or channels), and the more mathematically complex and timing consumingthe algorithm, the smaller the link margin may be in the shorterindirect path that is found.

The additional antenna axes provide polarization diversity in RF pathsbetween the antenna axis assemblies, which provide path diversity.Numerical designator 7200 refers to an open three-sided metal box and/ora simplified representation of a vehicle body for RF radio waves in agiga-hertz or multi-giga-hertz range. Numerical designator 7201 refersto a metal plate and/or a lid to the box and/or a simplifiedrepresentation of the roof of a vehicle for RF radio waves in agiga-hertz or multi-giga-hertz range. FIGS. 66 and 67 may also be viewedupside down where 7200 is a simplified representation of the openconcave shape of the roof of a vehicle and 7201 is a simplifiedrepresentation of the floor of a vehicle.

The RF connection along RF path 7101AB, between 7100A and 7100B isstrong because both pairs of antenna axis between the antenna axisassemblies are co-polarized. For arbitrarily oriented pairs of two axisantennas, this condition is rare, even when the co-polarized zones arewide, perhaps 5 degrees out of 90 degrees of rotation, at perhaps 6 dBup in link margin from the median link margin. This is because it takesthree angular rotations to manipulate an arbitrarily oriented antennaaxis assembly pair into this configuration and because the antenna axesare symmetrical every 90 degrees, which will happen arbitrarily about(5/90)*(5/90)*(5/90), or 1.71E-4, portion of the time. The RF connectionalong RF path 7101CD, between 7100C and 7100D, is not as strong as7101AB, but is good because no antenna path is co-polarized orcross-polarized and the nulls are not aligned. The RF connection alongRF path 7101EF, between 7100E and 7100F, is weak because each antennapath between individual antenna axis is either cross polarized orinvolves the null of at least one antenna. This condition is rare,because again, it takes 3 angular rotations to manipulate a pair ofarbitrarily oriented antenna axis pairs into this configuration. Again,for arbitrarily oriented antenna pairs of two axis antenna pairs, withfor example 5 degree cross-polarized and aligned null zones, at forexample 20 dB or pow2 db(sin(pi*5/180){circumflex over ( )}2) down inlink margin, it takes three angular rotations to manipulate anarbitrarily oriented antenna pair into this configuration and theantennas axes are symmetrical every 90 degrees, which will happenarbitrarily about (5/90)*(5/90)*(5/90), or 1.71E-4, portion of the time.

Looking at FIGS. 7-8 , it is clear that with three mostly orthogonalaxes of polarizations on one size and two mostly orthogonal axes ofpolarizations on the other side, the nulls are unable to be alignedwhile being cross polarized. With three mostly orthogonal axes ofpolarizations on one side and one polarized axis on the other side,nulls may be aligned via two rotations to get it to happen arbitrarily.

Generally, the more antenna axes on each side of a connection, the lowerthe probability that a low link margin direct path will occur.Preventing or reducing the probability of low link margin direct pathsis beneficial because round trip timing ranging and unmodulated carriertone exchange ranging tends to measure the direct path greater the linkmargin in the direct path is relative to reflected paths. Conversely,the lower the link margin in the direct path is relative to thereflected paths, the more likely the ranging techniques are to measurethe distance along the reflected path.

In FIG. 66 , when: the size of the metal box is reasonably sizedrelative to the decision bound on the ranges being measured; thevariation in distances are measured based upon the different reflectedpaths within the metal box; and one side of the ranging connection isplaced inside the metal box, planning on few direct paths may reduce thenumber of polarized axes needed to obtain reasonable measurements. Whenone of the antenna axes of 7100G is oriented such that the null ispointed along the strongest and/or shortest reflected path towards7100H, the other antenna axis in 7100G finds a bounce path that has astrong link margin to one of the antenna axes 7101H or 7102H. Thisespecially true when averaged across multiple channels like the 37 datachannels inside of a BLE data link. Some of the channel and antenna axispath combinations may fast fade due to multipath, but not the majorityof them. At any arbitrary orientation of the antenna axes pair 7100G,the link margin to antenna axes pair 7100H is about the same and thedistances measured along the 7103IJ reflected paths will be about thesame. How the reflected paths 7103GH bounce off of the roof 7201 or sidewalls of 7200 will change but the overall path variation will be limitedby the size and position of the 7200 and 7201 components. This pathvariation limit will change when 7100G is raised to a height where thereis a direct path, which will shorten the measured distance, by theremoval of the reflections from the path 7103GH. The range measuredbetween 7100G and 7100H along the reflected paths or shorter directpaths will set a comparison bound indicating that 7100G, which may bepart of the portable device is within a distance threshold of 7100H.7100H may be part of the PEPS module 211 or PAKM module 212. Thesedistance ranging measurements between a pair of 7100 modules may betaken and may be compared to be less than a bound. The measurements,distance and/or results of the comparisons may be used as part of“if-then-else” comparisons in a software decision tree to indicate thatthe portable access device 400 is within an approach zone, an unlockzone and/or a mobilization zone of a vehicle.

FIG. 67 is similar to FIG. 66 , except that the antenna axis assembly7100J includes single polarized antenna axis 7101J. In an embodiment,the antenna axis assembly 7100J includes only a single polarized antennaaxis. It is possible to orient 7101J such that the null is orientedalong the strongest and/or shortest reflected path towards 7100H. Inthis case, the round trip timing and unmodulated carrier tone exchangetechniques would tend to measure a distance along a path (not depicted)that is away from the box 7200 and then bounces back towards the box. Ittakes two rotations to orient an arbitrarily oriented antenna axis inthis orientation with for example a 5 degree wide aligned null zone, atfor example 20 dB or pow2 db(sin(pi*5/180){circumflex over ( )}2) downin link margin, because it takes two angular rotations to manipulate anarbitrarily oriented antenna pair into this configuration, and becausethe antennas are symmetrical every 90 degrees. The orientation happensarbitrarily about (5/90)*(5/90), or 3E-3, portion of the time. Otherthan an increased portion of the time where a wildly different indirectpath is measured because of a higher power path that is reflected off adistant object, this configuration may be used to take distance rangingmeasurements between a pair of 7100 modules and compare that measurementto be less than a bound. The measurements, distance and/or results ofthe comparison may be used as part of one or more “if-then-else”comparisons and software decision tree to indicate that the portableaccess device 400 is within the approach zone, unlock zone and/ormobilization zone of a vehicle.

Different polarizations of antennas may be used to create polarizationdiversity. Multiple polarized antennas (or antenna axes) createpolarizing diversity. A linear axis and another linear axis, a linearaxis and two linear axes including a circular polarize antenna, or threeindependent linear axes (linear polarized antennas) are all possible.Especially if there is nearby metal to create virtual polarizationdiversity.

The 7101H or 7101J antenna axis pair may be placed low in metal box thatis the vehicle body or high in the metal box that is the roof of thevehicle to achieve these virtual antenna axis array effects.

FIG. 3 shows a vehicle 200 that is an example of the vehicles 108 ofFIG. 1 . The vehicle 200 includes a PAK system 202, which includes avehicle control module 204, an infotainment module 206 and other controlmodules 208 (e.g., a body control module). The modules 204, 206, 208 maycommunicate with each other via a controller area network (CAN) bus 209and/or other vehicle interface (e.g., the vehicle interface 45 of FIG. 2). The vehicle control module 204 may control operation of vehiclessystems. The vehicle control module 204 may include a PEPS module 211, aPAK module 212 and a parameter adjustment module 213, as well as othermodules, which are shown in FIG. 4 . The vehicle control module 204 mayalso include one or more processors that are configured to executeinstructions stored in a non-transitory computer-readable medium, suchas the memory 218, which may include read-only memory (ROM) and/orrandom access memory (RAM).

The PEPS module 211 may perform PEPS operations to provide access to aninterior of the vehicle and permit starting and/or operation of thevehicle. The PAK module 212 operates in cooperation with the PEPS module211 and performs PAK operations as described herein. The PEPS module 211may include the PAK module 212 or the modules 211, 212 may beimplemented as a single module. The parameter adjustment module 213 maybe used to adjust parameters of the vehicle 200.

The PAK system 202 may further include: a memory 218; a display 220; anaudio system 221; and one or more transceivers 222 including the LFantenna modules 38 and the RF antenna modules 40. The RF antenna modules40 may include and/or be connected to RF circuits 223. The PAK system202 may further include: a telematics module 225; sensors 226; and anavigation system 227 including a global positioning system (GPS)receiver 228. The RF circuits 223 may be used to communicate with amobile device (e.g., the mobile device 102 of FIG. 1 ) includingtransmission of Bluetooth® signals at 2.4 giga-Hertz (GHz). The RFcircuits 223 may include BLE radios, transmitters, receivers, etc. fortransmitting and receiving RF signals.

The one or more transceivers 222 may include a RF transceiver includingthe RF circuits 223 and implement an access application having code toinspect timestamped data received and transmitted by the RF antennamodules 40. The access application may confirm whether the RF antennamodules have, for example, received correct data at the correct time.The access application may be stored in the memory 218 and implementedby the PEPS module 211 and/or the PAK module 212. Other exampleoperations of the access application are further described below.

The access application may implement a Bluetooth® protocol stack that isconfigured to provide a channel map, access identifier, next channel,and a time for a next channel. The access application is configured tooutput timing signals for timestamps for signals transmitted andreceived via the RF antenna modules 40. The access application mayobtain channel map information and timing information and share thisinformation with other modules in the vehicle.

The telematics module 225 may communicate with a server via a cell towerstation. This may include the transfer of certificates, licenseinformation, and/or timing information including global clock timinginformation. The telematics module 225 is configured to generatelocation information and/or error of location information associatedwith the vehicle 200. The telematics module 225 may be implemented by anavigation system 227.

The sensors 226 may include sensors used for PEPS and PAK operations,cameras, objection detection sensors, temperature sensors,accelerometers, vehicle velocity sensor, and/or other sensors. Thesensors 226 may include a touch sensor to detect, for example, a persontouching a door handle to initiate a process of waking up a portableaccess device. The sensors 226 may be connected to the other controlmodules 208, such as the body control module, which may be incommunication with LF and RF antenna circuits and/or modules disclosedherein. The GPS receiver 228 may provide vehicle velocity and/ordirection (or heading) of the vehicle and/or global clock timinginformation.

The memory 218 may store sensor data and/or parameters 230, certificates232, connection information 234, timing information 236, tokens 237,keys 238, and applications 239. The applications 239 may includeapplications executed by the modules 38, 40, 204, 206, 208, 210, 211,212, 223 and/or transceivers 222. As an example, the applications mayinclude the access application, a PEPS application and/or a PAKapplication executed by the transceivers 222 and the modules 210, 211,and/or 212. Although the memory 218 and the vehicle control module 204are shown as separate devices, the memory 218 and the vehicle controlmodule 204 may be implemented as a single device. The single device mayinclude one or more other devices shown in FIG. 2 .

The vehicle control module 204 may control operation of an engine 240, aconverter/generator 242, a transmission 244, a window/door system 250, alighting system 252, a seating system 254, a mirror system 256, a brakesystem 258, electric motors 260 and/or a steering system 262 accordingto parameters set by the modules 204, 206, 208, 210, 211, 212, 213. Thevehicle control module 204 may perform PEPS and/or PAK operations, whichmay include setting some of the parameters. The PEPS and PAK operationsmay be based on signals received from the sensors 226 and/ortransceivers 222. The vehicle control module 204 may receive power froma power source 264 which may be provided to the engine 240, theconverter/generator 242, the transmission 244, the window/door system250, the lighting system 252, the seating system 254, the mirror system256, the brake system 258, the electric motors 260 and/or the steeringsystem 262, etc. Some of the PEPS and PAK operations may includeunlocking doors of the window/door system 250, enabling fuel and sparkof the engine 240, starting the electric motors 260, powering any of thesystems 250, 252, 254, 256, 258, 262, and/or performing other operationsas are further described herein.

The engine 240, the converter/generator 242, the transmission 244, thewindow/door system 250, the lighting system 252, the seating system 254,the mirror system 256, the brake system 258, the electric motors 260and/or the steering system 262 may include actuators controlled by thevehicle control module 204 to, for example, adjust fuel, spark, airflow, steering wheel angle, throttle position, pedal position, doorlocks, window position, seat angles, etc. This control may be based onthe outputs of the sensors 226, the navigation system 227, the GPS 228and the above-stated data and information stored in the memory 218.

FIG. 4 shows the access module 210. The access module 210 includes thePEPS module 211, the PAK module 212, the parameter adjustment module 213and may further include a link authentication module 300, a connectioninformation distribution module 302, a timing control module 304, asensor processing and localization module 306, a data management module308 and a security filtering module 310. The PAK module 212 may includea RTC 312 that maintains a local clock time.

The link authentication module 300 may authenticate the portable accessdevices of FIG. 2 and establish the secure communication link. Forexample, the link authentication module 300 can be configured toimplement challenge-response authentication or other cryptographicverification algorithms in order to authenticate the portable accessdevices.

The connection information distribution module 302 is configured tocommunicate with some of the sensors 226 of FIG. 3 and to provide thesensors with communication information necessary for the sensors to findand then follow, or eavesdrop on, the secure communication link. Thismay occur once the sensors are synchronized with a communicationgateway, which may be included in or implemented by one of thetransceivers 222. As an example, the vehicle 200 and/or the PAK system202 may include any number of sensors disposed anywhere on the vehicle200 for detecting and monitoring mobile devices. The connectioninformation distribution module 302 is configured to obtain informationcorresponding to communication channels and channel switching parametersof a communication link and transmit the information to the sensors 226.In response to the sensors 226 receiving the information from theconnection information distribution module 302 via the vehicle interface45 and the sensors 226 being synchronized with the communicationgateway, the sensors 226 may locate and follow, or eavesdrop on, thecommunication link.

The timing control module 304 may: maintain the RTC and/or currentlystored date if not handled by the PAK module 212; disseminate currenttiming information with the sensors; generate timestamps for incomingand outgoing messages, requests, signals, certificates, and/or otheritems; calculate round trip times; etc. A round trip time may refer tothe amount between when a request is generated and/or transmitted and atime when a response to the request is received. The timing controlmodule 304 may obtain timing information corresponding to acommunication link when the link authentication module 300 executeschallenge-response authentication. The timing control module 302 is alsoconfigured to provide the timing information to the sensors 226 via thevehicle interface 209.

After link authentication is established, the data management module 308collects the current location of the vehicle 108 from the telematicsmodule 225 and shares the location with the portable access devices. Theportable access devices optionally include GPS modules and applicationsoftware that when executed compares the estimated relative locations ofthe portable access devices to the vehicle 108. Based on the estimatedpositions of the portable access devices relative to the vehicle 108,the portable access devices can send signals to one of the transceivers222 requesting the vehicle to perform certain actions. As an example,the data management layer 308 is configured obtain vehicle informationobtained by any of the modules (e.g., location information obtained by atelematics module 225) and transmit the vehicle information to theportable access devices.

The security filtering module 310 detects violations of a physical layerand protocol and filter data accordingly before providing information tothe sensor processing and localization module 306. The securityfiltering module 310 flags data as injected such that the sensorprocessing and localization module 306 is able to discard data and alertthe PEPS module 211. The data from the sensor processing andlocalization module 306 is passed along to the PEPS module 211, wherebythe PEPS module 211 is configured to read vehicle state information fromthe sensors in order to detect user intent to access a feature and tocompare the location of the mobile device 102 to a set of locations thatauthorize certain vehicle features, such as unlocking a door or trunk ofthe vehicle and/or starting the vehicle.

FIG. 5 is a functional block diagram of the RF antenna module 40, whichincludes a control module 350 connected to a multi-axis polarized RFantenna assembly 352. The multi-axis polarized RF antenna assembly 352may include a linear polarized antenna, other linear polarized antennasand/or a circular polarized antenna (e.g., a right-hand circularpolarized antenna or a left-hand circular polarized antenna). An exampleof the multi-axis polarized RF antennas is shown in FIG. 11 . Thecontrol module 350 may include or be part of a BLE communicationchipset. Alternatively, the control module 350 may include or be part ofa Wi-Fi or Wi-Fi direct communication chipset. The multi-axis polarizedRF antenna assembly 352 may be included as part of the RF antenna module40 or may be located remotely from the control module 350. Some or allof the operations of the control module 350 may be implemented by one ormore of the modules 204, 210, 211, 212 of FIG. 3 .

The control module 350 (or one or more of the modules 204, 210, 211, 212of FIG. 3 ) may establish a secure communication connection with aportable access device (e.g., one of the portable access devices 32, 34of FIG. 2 ). For example, the control module 350 may establish a securecommunication connection using the BLE communication protocol this mayinclude transmitting and/or receiving timing and synchronizationinformation. The timing and synchronization information may includeinformation directed to the secure communication connection, such astiming of next communication connection events, timing intervals betweencommunication connection events, communication channels for nextcommunication connection events, a channel map, a channel hop intervalor offset, communication latency information, communication jitterinformation, etc. The control module 350 may detect (or “eavesdrop”)packets sent by the portable access device to the vehicle control module204 and measure signal information of the signals received from theportable access device. The channel hop interval or offset may be usedto calculate a channel for a subsequent communication connection event.

The control module 350 may measure a received signal strength of asignal received from the portable access device and generate acorresponding RSSI value. Additionally or alternatively, the controlmodule 350 may take other measurements of received signals from theportable access device, such as an angle of arrival, a time of arrival,a time difference of arrival, etc. The control module 350 may then sendthe measured information to the vehicle control module 204, which maythen determine a location of and/or distance to the portable accessdevice relative to the vehicle 30 based on the measured information. Thelocation and distance determinations may be based on similar informationreceived from one or more other RF antenna modules and/or other sensors.

As an example, the vehicle control module 204 may determine the locationof the portable access device based on, for example, the patterns of theRSSI values corresponding to signals received from the portable accessdevice by the RF antenna modules 40. A strong (or high) RSSI valueindicates that the portable access device is close to the vehicle 30 anda weak (or low) RSSI value indicates that the portable access device isfurther away from the vehicle 30. By analyzing the RSSI values, thecontrol module 204 may determine a location of and/or a distance to theportable access device relative to the vehicle 30. Additionally oralternatively, angle of arrival, angle of departure, round trip timing,unmodulated carrier tone exchange, or time difference of arrivalmeasurements for the signals sent between the portable access device andthe control module 204 may also be used by the control module 204 or theportable access device to determine the location of the portable accessdevice. Additionally or alternatively, the RF antenna modules 40 maydetermine the location of and/or distance to the portable access devicebased on the measured information and communicate the location ordistance to the control module 204.

Based on the determined location of or distance to the portable accessdevice relative to the vehicle 30, the modules 211, 212 of FIG. 3 maythen authorize and/or perform a vehicle function, such as unlocking adoor of the vehicle 30, unlocking a trunk of the vehicle 30, startingthe vehicle 30, and/or allowing the vehicle 30 to be started. As anotherexample, if the portable access device is less than a firstpredetermined distance from the vehicle 30, the modules 211, 212 mayactivate interior or exterior lights of the vehicle 30. If the portableaccess device is less than a second predetermined distance from thevehicle 30, the modules 211, 212 may unlock doors or a trunk of thevehicle 30. If the portable access device is located inside of thevehicle 30, the modules 211, 212 may allow the vehicle 30 to be started.

Referring again to FIG. 5 , the control module 350 may include aphysical layer (PHY) module 356, a medium access control (MAC) module358, a time synchronization module 360 and a channel map reconstructionmodule 362. The PHY module 356 receives BLE signals via the multi-axispolarized RF antenna assembly 352. The control module 350 may monitorreceived BLE physical layer messages and obtain measurements of physicalproperties of the corresponding signals, including, for example, thereceived signal strengths using a channel map that is produced by thechannel map reconstruction module 362. The control module 350 maycommunicate with the control modules of other RF antenna modules and/orthe modules 204, 210, 211, 212 via the vehicle interface 45 to determinetime differences of arrival, time of arrival, angle of arrival and/orother timing information. In one embodiment, the control module 350includes a portion of the RF circuits 223 of FIG. 3 .

A time synchronization module 360 is configured to accurately measurethe reception times of signals/messages on the vehicle interface 45. Thecontrol module 350 may tune the PHY module 356 to a specific channel ata specific time based on the channel map information and the receptiontimes and/or other timing information. Furthermore, the control modulemay monitor received PHY messages and data that conform to a Bluetooth®physical layer specification, such as Bluetooth® Specification version5.1. The data, timestamps, and measured signal strengths may be reportedby the control module 350 to the control module 204 via the vehicleinterface 45.

FIG. 6 shows an example portable access device 400, which is an exampleof one of the portable access devices 32, 34 of FIG. 2 . The portableaccess device 400 may include a control module 402, a user interface404, a memory 406, sensors 407 and a transceiver 408. The transceiver408 may include a MAC module 410, a PHY module 412 and multiple linearpolarized antennas 414.

The control module 402 may include or be part of a BLE communicationchipset. Alternatively, the control module 402 may include or be part ofa Wi-Fi or Wi-Fi direct communication chipset. The memory 406 may storeapplication code that is executable by the control module 402. Thememory 406 may be a non-transitory computer-readable medium includingread-only memory (ROM) and/or random-access memory (RAM).

The control module 402 communicates with the modules 204 and 350 of thevehicle and performs authentication and other operations as furtherdescribed below. The control module 402 may transmit informationregarding the portable access device 400, such as location and/orvelocity information obtained from one or more of the sensors 407 (e.g.,a global navigation satellite system (e.g., GPS) sensor, anaccelerometer, and/or an angular rate sensor). The user interface 404may include a key pad, a touch screen, a voice activated interface,and/or other user interface.

FIG. 7 shows a polarization axes diagram illustrating a polarizationdiversity example arrangement. In the example shown, two 3-axis antennaslocated within a vehicle are in communication with a 2-axis antennalocated in a portable access device (or mobile access network device).With enough antenna axes, this antenna topology may prevent there frombeing a situation when cross-polarization exists between one of the3-axis antennas and the 2-axis antenna. Also, with enough antenna axesthe system may be configured so that there is at least one pair ofantennas where a null does not exist (or is not pointed) in a directsignal path. Heuristic measurements of RSSI on continuous wave (CW) toneportions of packets may be taken while measuring round trip time andphase delays of the packets. This may be repeated across multiplefrequencies. This may be accomplished at a vehicle access module and/orat the portable access device. Round trip timing and/or unmodulatedcarrier tone exchange may be used to secure ranging. RSSI and change (ordelta) phase per frequency may be used.

FIG. 8 shows a polarization axes diagram illustrating anotherpolarization diversity example arrangement. In the example shown, twosingle axis antennas located within a vehicle are in communication witha 3-axis antenna located in a portable access device (or mobile accessnetwork device). With enough antenna axes, this antenna topology mayalso prevent there from being a situation when cross-polarization existsbetween one of the single axis antennas and the 3-axis antenna. Also,with enough antenna axes, the system may be configured so that there isat least one pair of antennas where a null does not exist (or is notpointed) in a direct signal path. Heuristic measurements of RSSI oncontinuous wave (CW) tone portions of packets may be taken whilemeasuring round trip time and phase delays of the packets. This may berepeated across multiple frequencies. This may be accomplished at avehicle access module and/or at the portable access device. Round triptiming is used to secure ranging. RSSI and change (or delta) phase perfrequency may be used. The Example of FIG. 7 may be more feasible thanthe example of FIG. 8 . This is because it can be difficult toincorporate a 3-axis antenna in certain portable access devices, such asin a key fob.

FIG. 9 shows an electric field diagram 900 and polar coordinate plot 902illustrating electric field patterns and nulls 906 for a linear antenna.The linear antenna is positioned along the vertical axis 908. The linearantenna has a “doughnut” shaped radiation pattern. When nulls arealigned between transmit and receive antennas (co-polarized antennaswith the nulls co-linear or nearly co-linear), the bounce path of atransmitted signal is measured. The examples set forth herein preventthis situation from existing between at least one transmit antenna andat least one receive antenna at any moment in time. An algorithm is setforth herein for determining which transmit and receive antennas to useat any moment in time to prevent use of antennas that arecross-polarized and/or co-polarized. Once the appropriate antenna pairis selected, a time-of-flight measurement is taken to determine adistance between the transmitter and the receiver and/or between thevehicle and the portable access device. FIG. 10 shows voltage versuselectric field diagram 1000 for a linearly polarized antenna 1002.

FIGS. 11A-B show at least a portion of an example of a multi-axispolarized RF antenna assembly 1100 including a linear polarized antenna1102 and a circular polarized antenna 1104. The antennas 1102, 1104 arecollocated. The linear polarized antenna 1102 extends linearly from acenter of the circular polarized antenna 1104 axially outward away fromthe circular polarized antenna 1104. The antennas 1102, 1104 maytransmit 90° out of phase from each other. The linear polarized antenna1102 may include a conductive element (e.g., a straight wire or helix)1110 extending within a sleeve 1112. The circular polarized antenna 1104may be ring-shaped.

The linear polarized antenna 1102 is a monopole antenna. The sleeve 1112is formed of a dielectric material, such as Teflon. Both of the antennas1102, 1104 are concentric to a disk-shaped insulator (or isolator) 1106and a disk-shaped ground plane 1108. The ring-shaped insulator 1106 isstacked as a top layer on the ground plane 1108 (or bottom layer). Thecircular polarized antenna 1104 is disposed on the ground plane 1108 ininside an inner recessed area 1114 of the insulator 1106. The innerrecessed area 1114 of the insulator is disposed between the circularpolarized antenna 1104 and the ground plane 1108.

The circular polarized antenna has two feedpoints 1120, 1122 and thelinear polarized antenna 1102 has a single feedpoint 1124. The RFsignals are transmitted and/or received via the feedpoints 1120, 1122,1124. The RF signals are transferred between the antennas 1102, 1104 andthe RF circuit 1114 via coaxial cables. The coaxial cables include innerconductive lines 1130, 1132, 1134 and outer ground shields (not shown).The ground shields are connected to the ground plane 1108. Theconductive lines 1130, 1132, 1134 are connected to the feedpoints 1120,1122, 1124.

During transmission, a signal or voltage is provide across the groundplane 1108 and the conductive element 1110 via the feedpoint 1124, whichis connected to the conductive element 1110 and the ground plane 1108via another conductive element 1140. RF signal(s) or voltage(s) are alsoapplied across the ground plane 1108 and the feedpoints 1120, 1122 forthe circular polarized antenna 1104. The feedpoints 1120, 1122, whichare located at a 90° offset on the face of the antenna 1104 and are 90°out of phase from each other. The 90° electrical phase shift combinedwith the 90° geometric phase shift causes the circular polarized antenna1104 to radiate circular polarized signals. The feedpoints 1120, 1122are connected from the ground plane 1108 through the insulator 1106 tothe circular polarized antenna 1104. A hole 1142 in the center of theground plane 1108 and a hole 1144 in a center of the circular polarizedantenna 1104 are large enough to allow the linear polarized antenna 1102to radiate without shorting to the ground plane 1108.

The antennas 1102, 1104 may be formed of a conductive material, whereasthe circular isolator 1106 may be formed of a non-conductive (orelectrically insulating) material. In one embodiment, the linearpolarized antenna 1102 may be implemented as a straight wire, where thesleeve 1112 is formed of polytetrafluoroethene (PTFE) and the conductiveelement 1110 is formed of copper. In another embodiment, the linearpolarized antenna 1102 is implemented as a helix, where the wire iswrapped around a cylindrically-shaped object formed of PTFE. FIG. 12shows a polar coordinate plot 1200 of radiated power associated with thelinear polarized antenna 1102 of FIG. 11 . FIG. 13 shows a polarcoordinate plot of radiated power associated with the circular polarizedantenna 1104 of FIG. 11 . The antennas 1102, 1104 may be connected to anRF circuit 1114, such as one of the RF circuits 223 of FIG. 3 and may beconfigured to be installed in a roof of a vehicle. The antennas 1102,1104 may be used for time-of-flight measurements between a vehicle and aportable access device, whereas other LF antennas in a vehicle may beused for authentication of portable access devices.

Although antenna assemblies are primarily described as having a circularpolarized antenna and a linear polarized antenna, which may be disposed,for example, in a roof of a vehicle, two linear polarized antennas maybe used instead. This holds true for each of the examples disclosedherein. The two linear polarized antennas may be located deeper in thevehicle, such as in the floor, instrument panel or center console of thevehicle.

FIG. 14 shows a first RF circuit 1400, a second RF circuit 1401, and aportion 1403 of a portable access device (e.g., one of the portableaccess devices described above). Although a certain number of RFcircuits are shown, any number of RF circuits may be included andcommunicate with the portable access device. The first RF circuit 1400includes a serial transmission module 1402, a RF transceiver module1404, a switch 1406, a splitter 1408, a single axis polarized (ormonopole) antenna 1410, a delay module 1412, and a circular polarizedantenna assembly 1414. The antennas 1410, 1414 may be implemented as themulti-axis polarized RF antenna assembly of FIG. 11 . Although the RFcircuits are each shown as having a single axis antenna and a circularpolarized antenna to provide 3 axes of polarization, the RF circuits mayeach include only two single axis polarized antennas. Many permutationsof linear and circular polarized antenna axes are possible to achievepolarization diversity in a module, preventing cross polarization and/orco-linear alignment of nulls. If the RF circuits include two single axisantennas, then the portable access device includes a three axis antennaor three single axis antennas that are orthogonal relative to each otherto correspond with x, y, and z axes.

The serial transmission module 1402 may communicate with one or morevehicle modules (e.g., the vehicle control module or the access moduledisclosed above) via a serial bus according to a serial peripheralinterconnect (SPI) protocol. Discrete signals (or general purpose I/Osignals) may be transmitted between the modules 1402, 1404 and betweenthe RF transceiver module 1404 and the switch 1406. The RF transceivermodule 1404 may communicate with the PEPS module 211 (of FIG. 3 ). Theswitch 1406 switches between the antennas 1410, 1414. The splitter 1408may split a single received from the RF transceiver module 1404 andprovide the signal to the antenna 1410 and the antenna 1414 and/orcombine signals received from the antenna 1410 and the antenna 1414. Thesplitter 1408 may be a 90° splitter and split a single signal into two90° out of phase signals and provide the signals to two feedpoints(e.g., the feed points 1120, 1122 of FIG. 11 ) on the circular polarizedantenna. The splitter 1408 may provide signals to or receive signalsfrom the antenna 1414 via the delay module 1412.

The second RF circuit 1401 includes a switch 1420, a splitter 1422, asingle axis polarized (or monopole) antenna 1424, a delay module 1426,and a circular polarized antenna 1428. The antennas 1424, 1428 may beimplemented as the multi-axis polarized RF antenna assembly of FIG. 11 .The devices 1420, 1422, 1424, 1426, 1428 may operate similarly as thedevices 1406, 1408, 1410, 1412, 1414. The switch 1420 may communicatewith the RF transceiver module 1404. The switch 1406 may also connectthe splitter 1408, the single axis polarized antenna 1410, and/or theswitch 1420 to the RF transceiver module 1404. The switch 1420 mayconnect the single axis polarized antenna 1424 or the splitter to theswitch 1406 or the RF transceiver module 1404.

The portion 1403 includes a 3-axis LF antenna 1430, a LF module 1432, aRF module 1434, a user interface 1436, a first single axis polarizedantenna 1438, a second single axis polarized antenna 1440, and a switch1442. The LF module 1432 transmits and receives LF signals via the3-axis LF antenna 1430. The RF module 1434 transmits and receives RFsignals via the switch 1442 and the antennas 1438, 1440. The switch 1442connects one or more of the antennas 1438, 1440 to the RF module 1434.Discrete signals and serial peripheral interconnect (SPI) signals may betransmitted between the LF module 1432 and the RF module 1434. Discretesignals may be transmitted between the RF module 1434 and the switch1442.

RF signals are transmitted between (i) the antennas 1410, 1414, 1424,1428 and (ii) the antennas 1438, 1440. As an example, the antennas 1410,1424 may be associated with a z-axis, whereas the antennas 1414, 1428may each be associated with x and y axes. The antennas 1438, 1440 maybe, for example, slot antennas associated respectively with x and yaxes. The 3-axis LF antenna 1430 may communicate with the LF antennas onthe corresponding vehicle, as described above. The LF antennas may beused for waking up downlink purposes. The RF antennas may be used forauthentication and communication.

The antennas 1410, 1414 may be used to communicate with the antennas1438, 1440 or the antennas 1424, 1428 may be used to communicate withthe antennas 1438, 1440. As an alternative, one of the antennas 1410,1424 and either one of the antennas 1414, 1428 may be used tocommunicate with the antennas 1438, 1440. One or more of the antennas inthe circuit 1400 may be used while using one or more of the antennas inthe circuit 1401. By using one monopole (or linear polarized) RF antennaand a dipole (or multi-axis polarized) RF antenna, such as a circularpolarized antenna, the number of RF switching lanes to poll is reducedfrom 3 down to 2. Heuristic measurements of RSSI on continuous wavetones of packets may be taken while measuring round trip times and phasedelays of the packets. This may be repeated across multiple frequencies.

FIG. 15 shows a portion 1500 of a key fob having two linear polarizedslot antennas 1502, 1504, metal trim 1506 and a spare key 1508. Themetal in a key fob can short out fields that would otherwise stabilizealong a long dimension (or Y dimension) of the key fob. As a result, itcan be difficult to design an efficient radiator with structures thatwould otherwise include properly operating antennas. The antenna 1502 isan x-axis linear polarized slot antenna. The antenna 1504 is a y-axislinear polarized slot antenna. The metal trim 1506 may be castdecorative trim. The key fob may also include an LF coil antenna 1510, aprocessor (not shown), a battery 1512 and a metal plate (or conductivefilm) 1514. A RF signal is supplied to the metal plate 1514 and theopenings of the slot antennas 1502, 1504 radiate electromagnetic waves.

FIG. 16 shows a portion 1600 of the key fob of FIG. 15 without the metaltrim 1506 and the spare key 1508. The portion 1600 includes the x-axislinear polarized slot antenna 1502 and a y-axis linear polarized slotantenna 1504. Removing the metal trim 1506 and the spare key 1508supports radiation from the slot antennas 1502, 1504. Although thisarrangement is configured to work with nearby metal, such as the metaltrim and the spare key, the plots of FIGS. 17 and 18 are shown, whichare skewed from the plots when the metal trim and the spare key areincluded. FIG. 17 shows a polar coordinate plot of radiated powerassociated with the x-axis linear polarized slot antenna 1502 of theportion 1600 of the key fob of FIG. 16 . FIG. 18 shows an example polarcoordinate plot of radiated power associated with the y-axis linearpolarized slot antenna 1504 of the portion 1600 of the key fob of FIG.16 . FIG. 19 shows a return loss (in decibels (dB)) versus frequencyplot for the linear polarized slot antennas 1502, 1504 of FIG. 16 ,where the curve S1,1 is reflective power for the first port or antenna1502 of a first radio (or transmitter) and S2,2 is reflective power forthe second port or antenna 1504 of a second radio (or transmitter). Thestructure of a key fob may be provided to provide S1,1 and S2,2 plots,where the “dip” or minimum return loss for the S1,1 and S2,2 curves isat a same frequency or within a predetermined range of each other toprovide improved performance.

Return loss is a way to measure how well an antenna transforms anelectric voltage on terminals of the antenna to an electric field inspace or how well the antenna transforms the electric field in space toan electric voltage on the terminals. Return loss is a decibelmeasurement of how much power is reflected at the terminals. Forexample, if the return loss is 0 dB, all of the power is reflected andnone of the power is transferred at the terminals. As another example,−10 dB of return loss means about 10% of the power is reflected and 90%of the power is transferred. When a return loss plot includes a curvethat dips to a reasonable level at operating frequency (e.g., −6 dB),then the corresponding antenna is working well. If the return loss dipsto −10 dB, then the antenna is considered a good working antenna. Returnloss is measured as an S parameter. S1,1 is the return loss of port 1.S2,2 is the return loss for port 2.

FIG. 20 shows a portion 2000 of the key fob of FIG. 15 without metaltrim 1506 and including the spare key 1508. FIG. 21 shows a polarcoordinate plot of radiated power associated with the x-axis linearpolarized slot antenna 1502 of the portion 2000 of the key fob of FIG.20 . FIG. 22 shows a polar coordinate plot of radiated power associatedwith a y-axis linear polarized slot antenna 1504 of the portion 2000 ofthe key fob of FIG. 20 . Adding the spare key can negatively affect they polarization, but is acceptable for operation. FIG. 23 shows a returnloss versus frequency plot for the linear polarized slot antennas 1502,1504 of FIG. 20 , where S1,1 is for the antenna 1502 and S2,2 is for theantenna 1504.

FIG. 24 shows a portion 2400 of the key fob of FIG. 15 with a portion ofthe metal trim 2402 and the spare key 1508. Adding the metal trim 2402near the spare key 1508 can negatively affect operation as shown by theplots and curves of FIGS. 25-27 . FIG. 25 shows a polar coordinate plotof radiated power associated with the x-axis linear polarized slotantenna 1502 of the portion 2400 of the key fob of FIG. 24 . FIG. 26shows a polar coordinate plot of radiated power associated with they-axis linear polarized slot antenna 1504 of the portion of the key fobof FIG. 24 . FIG. 27 shows a return loss versus frequency plot for thelinear polarized slot antennas of FIG. 24 , where S1,1 is for theantenna 1502 and S2,2 is for the antenna 1504. FIGS. 19, 23 and 27 showthat the antennas work reasonable well at the frequency range ofinterest (e.g., 2.4-2.8 GHz).

Referring to the portion 1500 of FIG. 15 , where the full metal trim1506 is present, the operation of the antennas is further negativelyaffected as shown in FIGS. plots and curves of FIGS. 28-30 . FIG. 28shows a polar coordinate plot of radiated power associated with thex-axis linear polarized slot antenna 1502 of the portion 1500. FIG. 29shows a polar coordinate plot of radiated power associated with they-axis linear polarized slot antenna 1504 of the portion 1500. FIG. 30shows a return loss versus frequency plot for the linear polarized slotantennas 1502, 1504, where S1,1 is for the antenna 1502 and S2,2 is forthe antenna 1504.

The y-axis linear polarized slot antennas 1502, 1504 are open slotantennas since each of the antennas 1502, 1504 has an open end. FIG. 31shows a portion 3100 of a key fob having an open linear polarized slotantenna 3102, a closed linear polarized slot antenna 3104, metal trim3106 and a spare key 3108. FIG. 32 shows a polar coordinate plot ofradiated power associated with the x-axis linear polarized slot antenna3102 of the portion 3100. FIG. 33 shows a polar coordinate plot ofradiated power associated with the y-axis linear polarized slot antenna3104 of the portion 3100. FIG. 34 shows a return loss versus frequencyplot for the linear polarized slot antennas 3102, 3104 of FIG. 31 . FIG.34 shows that the antenna measured at port S2,2 works poorly.

When a portable access device has multiple orthogonal antennas asdescribed above, the larger the portable access device is compared to acorresponding physical metal key and the larger the portable accessdevice is compared to a palm of a hand, removal of decorative metal trimprovides improved round trip time performance. Improved round trip timeperformance improves accuracy of distance determinations.

The systems disclosed herein may be operated using numerous methods,which are described herein. A couple of example methods of determiningwhich antenna combination to use are illustrated in FIGS. 35 and 36 .FIGS. 35 and 36 illustrate methods of determining which antennacombination to use for exchanging packets between RF antenna modules (orRF circuits) of a vehicle and a portable access device for round triptime-of-flight measurements. FIGS. 35 and 37 represent the method fromthe point of view of the initiator of the round trip time-of-flightmeasurements. In one embodiment, this is the vehicle. In anotherembodiment, this is the portable access device. The reflector/responderwould perform the obvious steps that correspond to initiator steps inthe process. Round trip time-of-flight measurements may be used toprevent range extender type relay station attacks as further describedbelow. FIG. 35 illustrates a switching antennas between packetsapproach. FIG. 36 illustrates a switching antennas during transmissionof packets and/or continuous wave (CW) tones approach.

Although the following operations are primarily described with respectto the implementations of FIGS. 2-6, 11 and 14 , the operations may beeasily modified to apply to other implementations of the presentdisclosure. The operations may be iteratively performed.

The method may begin at 3500. The following operations may be generallyperformed simultaneously by the control module 402 in a portable accessdevice 400 and by modules located on the vehicle, for example, by theaccess module 210, the PEPS module 211 and/or the PAK module 212 of FIG.4 . There are many ways that the frequencies and antenna combinationsthat are sampled may be select to then identify the best frequencies (orchannels) and antenna axes. Optionally, at 3501 the modules negotiatethe initial frequencies (or channels) and antenna combinations to usefor the frequency and antenna sounding. This step can be based on an apriori agreement, negotiated between the modules based upon a posterioridata, and/or commanded by a module based upon a posteriori data. At3502, a frequency (or channel) is selected at which to transmit a first(or next) packet.

At 3504, an antenna pair is selected at which to transmit and receivethe packet. Such as two of the antennas of the RF circuits of thevehicle of FIG. 11 . At 3506, the packet is transmitted from a first (ortransmit) antenna at the selected frequency to a portable access device.The portable access device measures the RSSI of the transmission andtransmits the packet and as a first RSSI back to the second (or receive)antenna of the selected pair of antennas.

At 3508, the second antenna receives the packet and/or a response to thetransmission of the packet and the first RSSI. At 3512, a second RSSI ismeasured for the second transmission of the packet. At 3514, the firstRSSI and the second RSSI are stored in memory in association with thepacket, the selected frequency and the selected pair of antennas.

At 3516, if another antenna pair is to be selected, operation 3504 isperformed, otherwise operation 3518 is performed. This allows eachantenna pair permutation to be cycled through for each selectedfrequency. The antenna pair permutations may be cycled through in apseudo random and/or predefined order.

At 3518, if another frequency (or channel) is to be selected, operation3502 is performed, otherwise operation 3520 is performed. This allowseach frequency (or channel) to be cycled through. This allows the RSSIsof each of the frequencies (or channels) to be determined. Multipathfast fading can cause some frequencies to have lower power levels (orRSSI values). As an example, the frequencies of 37 BLE data channels maybe cycled through in a pseudo random and/or pre-defined order todetermine the best frequency and/or channel and best antenna pair fortransmission of other packets.

Optionally at 3519, after cycling through a predetermined, negotiatedand/or agreed set of the frequencies and the antenna axes pairs, thealgorithm may have the nodes (control modules) optionally exchangeantenna and/or channel RSSI results. Because of RF channel reciprocitythe modules may use a heuristic that selects the antenna axes used bythe modules without sharing antenna RSSI measurements taken by themodules. Because of RF channel reciprocity the modules may use aheuristic to select the channels (frequencies) without results from theother channels, but the modules may use an algorithm that selects thechannels based upon results from the channel. In this case the algorithmand system are more immune from interference from other nearbytransmitters.

At 3520, after cycling through a predetermined number of the frequenciesand the antenna pairs, the antenna axes combination and/or frequencies(channels) with the best RSSIs are selected for transmission ofremaining packets. Best, being the antenna axes combinations with thehighest RSSI. For frequencies (or channels) best being those that don'thave low RSSIs and/or don't have high RSSIs. At 3522, an identifier ofthe selected antenna pair and/or frequencies (channels) may beencrypted. At 3524, the encrypted selected antenna axis pair and/orfrequencies (channels) may be transmitted to the other node. At 3526,the packets are transmitted and responses are received using theselected frequencies (channels) and antenna pair. The method may end at3528.

Although the following operations of FIG. 36 are primarily describedwith respect to the implementations of FIGS. 2-6, 11 and 14 , theoperations may be easily modified to apply to other implementations ofthe present disclosure. The operations may be iteratively performed.

The method may begin at 3700. The following operations may be generallyperformed simultaneously by the control module 402 in a portable accessdevice 400 and by modules located on the vehicle, for example, the PEPSmodule 211 and/or the PAK module 212 of FIG. 4 . Multiple differenttechniques may be used to select the frequencies and antennacombinations that are sampled to then identify the best frequencies (orchannels) and antenna axes. Optionally at 3701 the modules negotiate theinitial frequencies (or channel) and antenna combinations to use for thefrequency and antenna sounding. This step can be based on an a prioriagreement, or negotiated between the modules based upon a posterioridata, or commanded by a module based upon a posteriori data. At 3702, afrequency (or channel) is selected at which to transmit a first (ornext) packet.

At 3704, an antenna pair is selected at which to transmit and receivethe packet. Such as two of the antennas of the RF circuits of thevehicle of FIG. 11 . At 3706, the packet is transmitted from a first (ortransmit) antenna at the selected frequency to a portable access device.The vehicle switches between a negotiated set of antenna axes withdwells during the CW tone portion of the packet. The portable accessdevice switches between a negotiated set of antenna axes with dwellswithin each of vehicle antenna axis “switch and dwells” for periodswithin the CW tone measures the RSSIs of transmit and receive antennaaxis permutation during the reception and transmits the packet and afirst set of measured RSSIs back to the vehicle and then switchesbetween a negotiated set of antenna axes with dwells during the CW toneportion of the packet selected pair of antennas.

At 3708, the vehicle receives the packet and/or a response to thetransmission of the packet and the first set of RSSIs. At 3712, a secondRSSI is measured for the second transmission of the packet. At 3714, thefirst RSSI and the second RSSI are stored in memory in association withthe packet, the selected frequency, and the selected pair of antennas.

At 3716, if another packet is to be transmitted, operation 3718 isperformed, otherwise operation 3726 may be performed. At 3718, ifanother antenna pair is to be selected, operation 3720 is performed,otherwise operation 3724 is performed. This allows each antenna pairpermutation to be cycled through for each selected frequency. Theantenna pair permutations may be cycled through in a pseudo randomand/or predefined order.

At 3720, a first transmission of a next packet is started using theprevious transmission antenna of the previously selected antenna pair.

At 3722, a switch occurs between the previous antenna pair and a nextselected antenna pair. This may occur during a CW tone of the currentlybeing transmitted packet or during another portion of the currentlybeing transmitted packet, such that a remainder of the packet istransmitted via the transmission antenna of the next selected antennapair. Operation 3708 may be performed subsequent to operation 3722.

At 3724, if another frequency (or channel) is to be selected, operation3704 is performed, otherwise operation 3718 is performed. This allowseach frequency (or channel) to be cycled through. This allows the RSSIsof each of the frequencies (or channels) to be determined. Multipathfast fading can cause some frequencies to have lower power levels (orRSSI values). As an example, frequencies of 37 BLE data channels may becycled through in a pseudo random and/or pre-defined order to determinethe best frequency and/or channel and best antenna pair for transmissionof other packets. At 3725, antenna and RSSI result values may beexchanged as described above at 3519.

At 3726, after cycling through a predetermined number of the frequenciesand the antenna pairs, the antenna combination and frequency and/orchannel with the best RSSIs are selected for transmission of remainingpackets.

At 3728, an identifier of the selected antenna pair may be encrypted. At3730, each remaining packet may be encapsulated to include the encryptedidentifier or modified to include the encrypted identifier. At 3732 theencapsulated or modified packets are transmitted and responses arereceived using the selected frequency, channel and antenna pair. Themethod may end at 3734.

In the above-described methods, the packets that are transmitted todetermine the best frequency, channel and antenna pair may be discarded.The discarded packets are used simply for measuring the RSSI values. Inanother embodiment, CW tones are included at the end of packets, andantenna switching occurs during these tones. In another embodiment, apredetermine period of time (e.g., 4 μs) is allocated for each antennapermutation, CW tones are included at ends of packets, and the antennapair with the best RSSI (or power values) is selected. The selectedfrequency, channel, and/or antenna pair may be changed if another nearbynetwork device is transmitting and/or receiving data in a same frequencyrange. In an embodiment, the pattern in which frequencies are selectedduring the methods of FIGS. 35 and 36 is pre-known and shared betweenthe access module of the vehicle and the portable access device.

The operations 3526 and 3732 may be performed to authorize a portableaccess device, detect range extender type relay station attacks by theportable access device, provide access to an interior of a vehicle,and/or perform other PEPS system and/or PAK system operations. As anexample, the packets may be transmitted to authorize the portable accessdevice and access to the interior of the vehicle may be provided whenthe portable access device and/or corresponding user is determined to beauthorized to access the vehicle. This may include permitting operationof the vehicle. The packets may be transmitted to take time-of-flightmeasurements including time to transmit the packets to the portableaccess device and time to respond and receive corresponding responsesfrom the portable access device. Based on the measured time-of-flightvalues, the access module (e.g., PEPS module or PAK module) of thevehicle may determine whether the portable access device is attemptingto perform a range extender type relay station attack. If the portableaccess device is attempting to perform a range extender type relaystation attack, the access module performs one or more countermeasuresincluding preventing access to the interior of the vehicle. Thecountermeasures may include notifying an owner of the vehicle of therange extender type relay station attack. This may be done, for example,via a text message or email transmitted from the access module to one ormore network devices of the owner. One or more alert signals may begenerated and a central monitoring station and/or authorities may benotified of the attack.

FIG. 37 shows a time-of-flight measurement diagram 3800 that includes aninitiating and measuring device 3802 and a reflecting (or responding)device 3804. The initiating and measuring device 3802 transmits a radiomessage (e.g., a packet) to the reflecting device 3804, which thenresponds and resends the radio message back to the initiating andmeasuring device 3802. The time-of-flight (or total time to transmit andreceive these signals) is equal to a sum of (T₂-T₁), (T₃-T₂) and(T₄-T₃), where: T₂-T₁ is the amount of time for the radio message totravel from the initiating and measuring device 3802 to the reflectingdevice 3804; T₃-T₂ is the amount of time for the reflecting device 3804to respond; and T₄-T₃ is the amount of time for the radio message totravel from the reflecting device 3804 to the initiating and measuringdevice 3802. Example average time of flight and distance calculationsmay be performed according to equations 1-4, where the distance refersto the distance between the initiating and measuring device 3802 and thereflecting device 3804.

$\begin{matrix}{{{Average}{Time}{of}{Flight}} = \frac{\left( {{Total}{Time}} \right) - \left( {{Response}{Time}} \right)}{2}} & (1)\end{matrix}$ $\begin{matrix}{{{Average}{Time}{of}{Flight}} = \frac{\left( {T_{4} - T_{1}} \right) + \left( {T_{3} - T_{2}} \right)}{2}} & (2)\end{matrix}$ $\begin{matrix}{{Distance} = {({rate})({time})}} & (3)\end{matrix}$ $\begin{matrix}{{Distance} = {(c)\left( \frac{\left( {T_{4} - T_{1}} \right) + \left( {T_{3} - T_{2}} \right)}{2} \right)}} & (4)\end{matrix}$

When a timer is used to time the response time T₃-T₂, the amount oftiming information may be reduced to adjust fine tuning informationmeasured and associated with the response time. The time T₃-T₂ may bereported back to an initiator, if the initiator is not aware of thisamount of time.

FIG. 38 shows an example BLE radio 3900 with a superheterodyne receiver3902 and a transmitter 3904. The BLE radio 3900 may be used as, forexample, one of the transceivers 222 of FIG. 3 and include or be part ofone of the RF antenna modules 40 and RF circuits 223. In anotherembodiment, the BLE radio 3900 is used as a transceiver in a portableaccess device, such as the transceiver 410 of the portable access device400 of FIG. 6 . The superheterodyne receiver 3902 uses frequency mixingto convert a received signal to a fixed intermediate frequency (IF). Thesuperheterodyne receiver 3902 includes a RF (e.g., band pass) filter3906, a switch and balun 3908, a low noise amplifier 3910, adownconverter 3912, a bandpass filter and amplifier 3914, ananalog-to-digital converter 3916, a demodulator 3918 and a correlationand protocol module 3920. The transmitter 3904 includes a processingmodule 3922, a protocol module 3924, a Gaussian frequency shift keying(GFSK) modulator 3926, a digital-to-analog converter and low pass filter3928, an upconverter 3930 and a power amplifier 3932. Crystaloscillator(s) 3934 may generate one or more clock signals, which may bedistributed to the devices 3914, 3916, 3918, 3920, 3922, 3924, 3936,3938 and phase lock loops 3940, 3942. As an example the processingmodule 3922 and the correlation and protocol module 3920 may beimplemented as a single module and as part of one or more of the modules204, 210, 211, 212 of FIG. 3 . Operations performed by the modules 3922and 3920 may be implemented by any one of the modules 204, 210, 211, 212of FIGS. 3-4 . One or more of the devices 3906, 3908, 3910, 3912, 3914,3916, 3918, 3920, 3924, 3926, 3928, 3930, 3932, 3934, 3936, 3938, 3940,and 3942 may be implemented as part of the RF circuits 223 and/or aspart of one or more of the modules 204, 210, 211, 212.

The band pass filter 3906 may be connected to a linear polarized antennaand/or a circular polarized antenna (designated 3907). The downconverter3912 downconverts received signals from an RF frequency to an IFfrequency based on a signal from the phase lock loop 3942. Theupconverter 3930 upconverts IF signals to RF signals based on a singlefrom the phase lock loop 3940.

The GPSK modulator 3926 and the demodulator 3918 may modulate anddemodulate bits of signals according GFSK protocols. FIG. 39 shows anexample GFSK parameters definition plot including a plot of transmitcarrier frequency F_(c) illustrating zero-crossing points and error. Asan example, the transmit carrier frequency F_(c) may be ±250 KHz or ±500KHz with a symbol time of 1 μs or 0.5 μs and zero-crossing error of⅛^(th) of 1 μs (1 Mbps) or ⅛^(th) of 0.5 μs (2 Mbps).

FIG. 40 shows a functional block diagram of a system 4100 fortransmitting BLE packets. An example format of the BLE packets 4101 isshown including a preamble, an access address, a protocol data unit(PDU) and cyclic redundancy check (CRC) bit fields. This is an exampleof packets that may be received by the correlation and protocol module3940 of FIG. 38 and/or generated by the processing module 3922 and/orprotocol module 3924.

The preambles of the packets are AA or 55 such that the last bit of thepreamble is different than the first bit of the access address. Theaccess addresses for the peripheral and central devices 4102, 4104 arethe same. Sensors 4106 may be used to monitor packets. For each packetand each connection interval the access addresses are the same. Theaccess address follows BLE access address rules. The packets within thesame connection interval are within the same RF channel. FIG. 41 showsexample preambles and access addresses for BLE 1M packets and BLE 2Mpackets. The preambles are A's and 5's (AA or 55 at 1 mbit/s, AAAA or5555 at 2 mbit/s), such that the last bit of the preamble is differentthan the first bit of the access address. This is illustrated by thebits in the circles 4200.

Access addresses for advertising channel packets may be10001110100010011011111011010110b (0x8E89BED6). Each link layerconnection between any two devices and each periodic advertisement has adifferent access address. The access addresses may be 32-bit values.Each time a new access address is needed, the link layer may generate anew random value that meets the follow rules. The access address is notan address for an existing link layer connection on the correspondingnetwork device. The access address: is not an address for enabledperiodic advertising; does not have six consecutive zeros or ones; isnot an advertising channels packet access address; is not a sequencethat differs from an advertising channel packets access address by onlyone bit; and does not include four equal octets. The access address hasno more than 24 transitions. The seed for the random number generator isfrom a physical source of entropy and has at least 20 bits of entropy.If the random number of the access address does not satisfy the aboverules, new random numbers are generated until the rules are satisfied.For an implementation that also support BLE coded physical layer (PHY),the access address may also have at least three ones in the leastsignificant 8 bits and have no more than eleven transitions in the leastsignificant 16 bits. In normal BLE packets, the preamble gives away thefirst bit of the access address and then the access rules sometimes giveaway the next bit of the access address (e.g., no more than 6consecutive 0's or 1's). This can cause ranging security issues becausean attacker may predict the bits, which is mitigated or eliminated bythe implementations disclosed herein.

FIG. 42 shows an example plot of BLE packet signals illustratingcorresponding bits. A first BLE signal 4300 represents a bit stream outof the protocol module 3924 of FIG. 38 . Normal BLE packets do notreturn to a carrier (or midpoint level) when the bits remain at a samevalue. This is referred to as non-return to zero recording. Thecorresponding bits for the first plot are shown above the plot. A secondBLE signal 4302 represents a bit stream out of the GFSK modulator (orGaussian filter) 3926. The Gaussian filter adds ½ bit of time lag andgives away a bit of time during transitions. The corresponding bits forthe second BLE curve are shown below the second BLE curve. As anexample, the carrier frequency may be 2.402 GHz and the BLE packetsignals may vary in frequency between 2.402250 GHz and 2.401750 GHz.

FIG. 43 shows an example plot of BLE packet signals illustratingcorresponding bits of a stronger BLE packet signal (e.g., BLE packetsignal with larger RSSI) after leading edge sensing and transmissionwith faster edges. A first BLE signal 4400 represents a bit stream outof the protocol module 3924 of FIG. 38 . A second BLE signal 4402represents a bit stream out of the GFSK modulator (or Gaussian filter)3926. A third BLE signal 4404 represents the stronger BLE packet signalafter leading edge sensing of Gaussian bits and then transmitting withfaster edges. The third BLE signal 4404 may be generated by an attackingdevice. As can be seen the edges are sloped and transition quicker thatthe transitions of the second BLE curve 4402. This causes thecorresponding bits to be earlier than the bits of the second plot (oroutput of the GFSK modulator 3924). Areas where differences may bedetected are designated by ovals 4406. The corresponding bits for thefirst BLE curve 4400 are shown above the first BLE curve 4400. Thecorresponding bits for the second BLE curve 4402 are shown below thesecond BLE curve 4402. The corresponding bits for the third BLE curve4404 are shown below the bits for the second BLE curve 4402 and shiftedto the left relative to the bits of the second BLE curve 4402.

FIG. 44 shows the second and third BLE curves 4402, 4404 of FIG. 43 ,where the third BLE curve 4404 has been shifted relative to the secondBLE curve 4402. The following operations may be performed to defendagainst a bit acceleration attack. A bit acceleration attack may referto when an attacking device accelerates transmission of a BLE signal toaccount for delays associated with the attacking device receiving,processing and/or modifying and forwarding the BLE signal, such as a BLEsignal transmitted from a key fob and/or other portable access device.FIG. 45 shows an example method of detecting a range extension typerelay attack. Although the following operations of FIG. 45 are primarilydescribed with respect to the implementations of FIGS. 2-6, 11 and 14 ,the operations may be easily modified to apply to other implementationsof the present disclosure. The operations may be iteratively performed.The following operations may be performed by, for example one or more ofthe modules 210, 211, 212.

The method may begin at 4600. At 4602, a sliding correlation function isused to align a received input waveform with an idealized Gaussianwaveform (or other suitable predetermined waveform) for a known bitpattern and bit rate including scaling peaks and aligning zero offsetsof the received input waveform and the predetermined waveform. This maybe done by the correlation and protocol module 3920 of FIG. 38 . Thismay be done to identify, for example, a synchronization access word. Anexample of this is shown in FIG. 44 .

At 4604, parts (or portions) 4605 of the received waveform that occurearly in time, after a zero crossing, and before a next peak of thepredetermined waveform are integrated and accumulated (or summed). Thisis referred to positive accumulation.

At 4606, parts (or portions) 4607 of the received waveform that occurlate in time, after a peak, and before a next zero crossing areintegrated and accumulated. This is also referred to as positiveaccumulation.

At 4608, the resultant accumulation values determined at 4604 and 4606are averaged over the number of transitions used to provide anindication of a level of bit acceleration attack. The accumulated valuesmay be separately averaged to provide two average values or may besummed and then averaged to provide a single average value.

At 4610, based on the one or more averages and one or more predeterminedthresholds, it is determined whether an attack has occurred and/or haslikely occurred. At 4612, if an attack has occurred and/or has likelyoccurred, operation 4614 is performed, otherwise operation 4616 isperformed. At 4614, a countermeasure is performed, such as one of thepreviously mentioned countermeasures including preventing access and/oroperation of the corresponding vehicle. One or more alerts may also begenerated. As another example countermeasure, data associated with theattack may be stored in memory and/or transmitted to a network device ofan owner of the vehicle and/or a central monitoring station. At 4616,access and/or operational control of the vehicle are permitted if anattack has not occurred and/or has likely not occurred. Operationalcontrol may include, for example, unlocking or locking doors of thevehicle, remote starting of an engine of the vehicle, interior climatecontrol adjustment of the vehicle, etc. At 4618, the one or moreaverages may be discarded and/or old integrated and accumulated data maybe discarded. If a sliding window is being used to monitor receivedsignals, old portions of the data may be discarded while more recentportions may be maintained for subsequent integration, accumulation andaveraging purposes with newly received data.

FIG. 46 shows a vehicle 5200, including a round trip time (RTT)responder 5202 and a RTT initiator 5204, and a portable access device5206 including a RTT initiator 5208 and a RTT responder 5210. As usedherein an “initiator” may refer to a network device including a BLEradio, transmitter and/or receiver and initiates a signal or toneexchange. As used herein a “responder” may refer to a network deviceincluding a BLE radio, transmitter, and/or receiver and responds to asignal and/or tone received from an initiator. The RTT responders 5202,5210 and RTT initiators 5204, 5208 may be implemented, for example, bythe RF antenna modules 40, RF circuits 223 and/or modules 210, 211, 212of FIG. 3 and include corresponding transmission and receptioncircuitry. The vehicle 5200 may include antenna modules with single andcircular polarized antennas as described above. The RTT responder 5202and RTT initiator 5204 may transmit and receive using the antennas. Theantennas provide polarization diversity with antennas (e.g., singlepolarized antennas) used by the RTT initiator 5208 and RTT responder5210 such that at any moment in time at least one of the stated antennasof the vehicle 5200 has at least one polarization axis that is notcross-polarized and not co-polarized with a polarization axis of atleast one of the antennas of the portable access device 5206.

The devices 5202, 5204, 5208, 5210 may each include a control module asdescribed above to perform any of the described operations. The devices5202, 5204, 5208, 5210 may transmit and receive RF signals on randomchannels (e.g., 40 BLE channels over 80 MHz of spectrum). The devices5202, 5208 may communicate with each other including transmitting andreceiving signals while the devices 5204, 5210 communicate with eachother including transmitting and receiving signals. The communicationbetween the devices 5202, 5208 may simultaneous with the communicationbetween the devices 5204, 5210. Transmission of signals for determiningRTTs may be transmitted simultaneously and in a bi-directional mannerfor security reasons and to detect an attack. The devices 5202, 5204 mayshare with the portable access device 5206 the frequencies at which tocommunicate. The frequencies may be indicated in a predetermined orderand followed by the devices 5202, 5204, 5208, 5210. If a bandpass filteris used to monitor two channels simultaneously, the filter introducespropagation delay.

A typical band pass filter delay is 0.5 per bandwidth (or0.5/bandwidth). The channel spacing of a protocol, randomness in channelselection, randomness in transmit direction over time, and simultaneoustransmissions, force band pass filters to detect the bits that havegroup delays, which are large compared to the measurable round trip timedelay. This further increases difficulty in an attacking deviceperforming a range extension type relay attack. The vehicle 5200 and theportable access device 5206 may respectively set transmit power levelsand transmit channel spacings such that it is impractical, for examplefor an attacking device, to have a filter wide enough to receive thesignals with a short enough delay to relay, but is narrow enough toanalyze the signals.

In an embodiment, signals are transmitted to measure directtime-of-flight times and determine if there is a predetermined amount ofdelay (e.g., 10-500 nano-seconds (ns)), which is often associated with arange extender type attacking device. A range extender type attackingdevice, when relaying signals between the vehicle 5200 and the portableaccess device 5206 can delay transmitted signals by the predeterminedamount. The stated bi-directional and simultaneous transmitting andreceiving makes it difficult for an attacking device to determining thefrequency, channel and direction of signals being transmitted at anymoment in time. It is also difficult for the attacking device to avoidrelaying signals without the predetermined amount of delay.

FIG. 47 shows the vehicle 5200, including the RTT responder 5202 and theRTT initiator 5204, and the portable access device 5206 including theRTT initiator 5208 and the RTT responder 5210. FIG. 47 shows signalpaths through corresponding antennas 5300, 5302, 5304, 5306. In anembodiment, the antennas 5300, 5302 have a total of three polarizationsand the antennas 5304, 5306 have a total of two polarizations. Inanother embodiment, the antennas 5300, 5302 have a total of twopolarizations and the antennas 5304, 5306 have a total of threepolarizations.

FIG. 48 shows the vehicle 5200, including the RTT responder 5202 and theRTT initiator 5204, the portable access device 5206 including the RTTinitiator 5208 and the RTT responder 5210, and a range extension typerelay attacking device 5400. The range extension attacking device 5400includes a control module 5402 that includes a band pass filter 5404, abit signal direction detector 5406 and a bit acceleration attack module5408. The band pass filter 5404 is used to detect incoming bits, buthave associated lag time. The bit signal direction detector 5406determines a direction that the bits are traveling (e.g., from a vehicleto a portable access device or from the portable access device to thevehicle). The bit acceleration attack module 5408 is unable toaccelerate the bits without introducing lag time in parts of symbols (orbits) that can be detected using a sliding correlation function alignedwith an ideal waveform and averaging symbol (or bit) shapes overmultiple symbols (or bits). The stated lag time may be detected by anaccess module of a vehicle when determining whether an attack isoccurring.

As shown the range extension attacking device 5400 includes amplifiers5410, such as low noise amplifiers (LNA) and power amplifiers, forreception and transmission purposes. The range extension attackingdevice 5400 may also include mixers for downconversion and upconversionpurposes. The amplifiers 5410 are connected to antennas 5412.

In addition to simultaneously performing the stated communication,channels may be pseudo randomly selected and access addresses may alsobe pseudo randomly selected. This random selection may occur at thevehicle and may be shared ahead of time with the portable access device.Conversely, the selection may occur at the portable access device.Conversely, the selection may occur through secure cryptographictechniques with key material from either or both the devicescontributing to the pseudo random selected channel sequence and/oraccess address sequence. In this case the pseudo random sequences ofaccess address serves as the cryptographically secure sequence of bitsthat are exchanged for round trip timing measurements. With simultaneoustransmit and receive operations being performed on random channels withrandomly selected access addresses, where responses are on a samechannel as an initiator and the response access address is not the sameas the initiator access address, range extension attacking devices havedifficulty performing an attack without being detected by access moduleof the vehicle and/or control modules of one or more portable accessdevices. The range extension attacking devices must: listen to all ofthe channels in both directions simultaneously; determine whichdirection the messages are traveling through the range extensionattacking device; and detect the bits early and send the bits at theright amount of time early in both directions to convince the initiatorsof the vehicle and the one or more portable access devices. The rangeextension attacking devices must convince the initiators of the vehicleand the one or more portable access devices that the portable accessdevices are closer than the portable access devices actually are and atthe correct distances from the vehicle to permit access and/oroperational control of the vehicle. Also, with a Gaussian filter on BLEbits, the attacking device has a small window of less than about 10-100ns of early bit detection time available to detect the bits and transmitthe bit early.

In an embodiment, the RF signals associated with the above describedsimultaneous communication are monitored by the modules 210, 211, 212 ofFIG. 3 and the stated initiators and responders monitor and/or determineRSSI values and antenna polarization statuses (e.g. degrees ofpolarization between transmitting and receiving antennas) of thesignals. One or more of the modules 210, 211, 212, based on the RSSIvalues and the polarizations, determine the path, frequency, channel,and antenna pairs that are best for communication. The signalsassociated with the shortest path (or least interference), the best RSSIvalues, the most polarization, etc. are used to indicate which path,frequency, channel, and antenna pair to use. This information may alsobe used to determine, for any moment in time, which device transmits andwhich device receives. Selection of transceiver chips and channels ateach device may be randomized. In an embodiment, one device (at vehicleor portable access device) may transmit while the other one of thedevices is not transmitting, but rather is receiving. This role may thenbe switched, such that the first device is receiving while the seconddevice is transmitting and is not receiving.

Although many of the above and below described techniques includemonitoring, generating, receiving, transmitting, and/or measuringvarious parameters at a vehicle access module and based on thisinformation detecting a range extension type relay attack, thetechniques may be modified such that some or all of these operations areperformed at a control module (or other module) of a portable accessdevice, such as any of the portable accesses device disclosed herein.Similarly, various operations are described as being performed at aportable access device; these operations may be performed at an accessmodule of a vehicle.

Examples of different BLE RF transmit frequencies are 2.410 giga-hertz(GHz), 2.412 GHz, 2.408 GHz, and 2.414 GHz. These and other frequenciesmay be used by the RTT initiators and responders and/or correspondingtransmitters and receivers.

In an embodiment, other transmitters of a vehicle and/or portable accessdevice are used to lightly load one or more channels to force anattacking device to have a narrow low pass filter to detect the RFsignals transmitted by the initiators and responders. The one or morechannels may include or be nearby channels used by the initiators andresponders. The signals transmitted on the one or more channels may bedummy signals.

FIG. 49 shows two of the BLE radio 3900 (designated 3900A and 3900B).The first BLE radio 3900A is performing as an initiating and measuringdevice. The second BLE radio 3900B is performing as a reflection (orresponding) device. The initiating and measuring device 3900A maymeasure a RTT for a packet to be transmitted from the first BLE radio3900A to the second BLE radio 3900B, time for the second BLE radio torespond, and time for the packet to be transmitted from the second BLEradio 3900B to the first BLE radio 3900A. In another embodiment, the RTTincludes the time to transmit the packet from the processing module3922A of the first BLE radio 3900A to the correlation and protocolmodule 3920B of the second BLE radio and back from the processing module3922B or the protocol module 3924B to the demodulator 3918 a or thecorrelation and protocol module 3920A. This may include measuring traveltime: from processing module 3922A; through protocol module 3924A, GFSKmodulator 3926A, D/A and low pass filter 3928A, upconverter 3920A, poweramplifier 3932A, switch and balun 3908A, and band pass filter 3906A; tothe BLE radio 3900B; through band pass filter 3906B, switch and balun3908B, low noise amplifier 3910B, downconverter 3912B, band pass filterand amplifier 3914B, A/D 3916B, and demodulator 3918B, to correlationand protocol module 3920B. The time to travel from the demodulator 3918Bor the correlation and protocol module 3920B to the protocol module3924B or the processing module 3922B may also be determined. The timefrom the protocol module 3924B or the processing module 3922B, throughthe GFSK modulator 3926B, the D/A and low pass filter 3928B, theupconverter 3930B, the power amplifier 3932B, the switch and balun3908B, the band pass filters 3906B and 3906A, the switch and balun3908A, the low noise amplifier 3910A, the downconverter 3912A, the bandpass filter and amplifier 3914A, the A/D 3916A, and the demodulator3918A or the correlation and protocol module 3920A may also bedetermined. Although BLE radio 3900A is described as the initiator andBLE radio 3900B is described as the responder, operation roles may beswitched, such that the BLE radio 3900B is the initiator and BLE radio3900A is the responder.

The following operations may be performed to precisely determine a RTTbetween two BLE radios (e.g., the BLE radios 3900A, 3900B of FIG. 49 )of a vehicle and/or between a BLE radio of a vehicle a BLE radio of aportable access device. The operations are performed to prevent anattack and/or to easily detect when an attack is being performed and/orhas occurred. The following operations may be performed separately or inany combination. In an embodiment, a large predetermined number ofpackets are exchanged back and forth between the BLE radios. Theinitiator may measure and/or have estimates of a RTT for a signaltransmitted between the BLE radios. This may include time T1 of when thepacket is transmitted from the first BLE radio to the second BLE radio,time T2 for the second BLE radio to respond, time T3 of when the secondBLE radio transmits the packet back to the first BLE radio, and time T4of when the first BLE radio receives the packet from the second BLEradio.

In an embodiment, A/D and D/A clocks of the BLE radios and/or phase lockloops are dithered between packets. In addition to dithering the clockswhere possible, a cryptographically random variation may be added, whichis known to the BLE radios for when least significant bits (LSBs)generated by a digital timer are transmitted. The cryptographicallyrandom variation is used such that an attacking device is unable topredict a precise moment when a transmission will occur.

In an embodiment, each of the packets include a large pre-agreed tocryptographically random multiple bit identifier (PACRMBI) of, forexample, 16 to 256 bits. In another embodiment, the packet bit contentsfrom the initiator and the responder are indistinguishable to anattacking device. The attacking device is unable to identify whichdirection a packet is coming from or if the packet is an initiator orresponder packet based upon the bit contents of the packet.

In an embodiment, channels of the BLE radios are cryptographicallyrandomized. In an embodiment, a determination of which one of the BLEradios is the initiator or the responder is cryptographicallyrandomized. In an embodiment, either or both of the BLE radios transmitdummy packets that are indistinguishable to the attacking device fromother packets transmitted by the BLE radios. Selection of which if theBLE radios transmits the dummy packets is cryptographically randomizedand may be randomly switched. This makes it difficult for the attackingdevice to determine which are valid packets and in which direction thepackets are being transmitted between the BLE radios.

In an embodiment, polarization of the antenna sets being used by the BLEradios is initially cryptographically randomized. A heuristic to selectwhich antenna permutations between the BLE radios provide the best“antenna-channel” across the set of channels is used. This may include:using a heuristic that selects higher receive signal strength;compensating for antenna gain over frequency, monitors over multiplechannels; using an antenna combination with a highest average or medianpower; and/or using a Rayleigh faded estimator or a Kalman filterestimator. This may reduce the cryptographically random antenna patternsand concentrate on the “antenna-channels” that have the most power andleast cross-polarization.

In an embodiment, the in-phase and quadrature-phase (IQ) stream at thereceiver is up-sampled (or interpolated) prior to sending the IQ streamwith an idealized up-sampled IQ stream that matches a PACRMBI into thecorrelation and protocol module of the corresponding one of the BLEradios. As an alternative to use of PACKRMBI's, the transmitted messagesmay be encrypted, and when received, bit decoded and then converted intoan idealized up-sampled IQ stream. The two up-sampled streams may besent through the correlation and protocol module 3920, which may monitorfor an up-sampled clock edge, where there is enough correlation to matchPACRMBI's. The correlation and protocol module 3920 selects a maximumedge of the clock edges that are a match. Other clock recovery methodsmay be use to interpolate sub-bit timing in round trip timing of bitstreams in communication channels. This may be performed in combinationwith the up-sampling correlation or in combination with normal clocksampling.

In an embodiment, amplifier settings are communicated between the BLEradios. The amplifier settings are sufficient to compensate for anyfrequency and amplifier gain variations in the propagation delay betweenthe BLE radios.

In another embodiment, measured die temperatures within the BLE radiosare communicated (or shared) between the BLE radios to compensate forany temperature based frequency and amplifier gain variations in thepropagation delay between the BLE radios.

Another operation that may be performed is to communicate balunvariations between the BLE radios. Another operation is to add a short(e.g., 6 us) but cryptographically random length (e.g., 4 to 8 us)continuous wave tone to packet pairs to do simultaneous tone exchangeranging while doing round trip timing measurements.

FIG. 50 shows a location and distance determination system 5600including a RTT initiator 5602, a RTT responder 5604, and a RTT sniffer5606. The RTT initiator 5602 and the RTT responder 5604 may perform asany of the initiators, responders, BLE radios, RF circuits disclosedherein. The RTT sniffer 5606 may be located along with one of the RTTdevices 5602, 5604 at a vehicle and include one of the antenna modules40 of FIG. 2 while the RTT device in the vehicle includes the other oneof the antenna modules 40. The devices 5602, 5604, 5606 may each includea control module as described above to perform any of the describedoperations. Polarization diversity as described above is provided:between the antennas of the RTT devices 5602, 5604; and between theantennas of one of the RTT devices 5602, 5604 that is in the vehicle andthe RTT sniffer 5606. Polarization diversity is especially utilized whenperforming round trip timing measurements. Each of the RTT devices 5602,5604 may include single and circular polarized antennas.

The one of the RTT devices 5602, 5604 that is in the vehicle may bereferred to as the master device, whereas the other one of the RTTdevices 5602, 5604 is referred to as the slave device. When the masterdevice transmits a challenge signal to the slave device, the RTT sniffer5606 performs as a listener and detects (i) when the challenge signal istransmitted to and/or received at the RTT sniffer 5606, and (ii) whenthe slave device transmits a response signal to the challenge signal,and/or (iii) when the RTT sniffer 5606 receives the response signal. TheRTT sniffer 5606 may then use triangulation based on the transmit and/orreceive times of the challenge signal and the transmit and/or receivetimes of the response signal to determine a location of the slavedevice. The master device may also measure the round trip timingassociated with the challenge signal and the response signal in order tomeasure direct paths between antennas instead of a bounce path. Thisprevents nulls of antennas from being aligned and cross-polarization.

The master device and the RTT sniffer 5606 cooperate to estimate thedistance to the slave device. The following equations 5-7 may beimplemented by the master device to determine the amount of time T_(MS)for the challenge signal to be transmitted from the master device to theslave device, where: T_(SM) is the amount of time for the responsesignal to be transmitted from the slave device to the master device;T_(RX) is the time when the response signal is received at the masterdevice; T_(TX) is the time when the challenge signal is transmitted fromthe master device; T_(SDELAY) is the amount of delay time for the slavedevice to respond with the response signal after receiving the challengesignal; and FixedOffset₁ is a first amount of offset time, which may begreater than or equal to 0.

$\begin{matrix}{{T_{MS} + T_{SM}} = {T_{RX} - T_{TX} - T_{S{DELAY}} + {{Fixed}{Offset}_{1}}}} & (5)\end{matrix}$ $\begin{matrix}{T_{MS} = T_{SM}} & (6)\end{matrix}$ $\begin{matrix}{T_{MS} = \frac{T_{RX} - T_{TX} - T_{S{DELAY}} + {{Fixed}{Offset}_{1}}}{2}} & (7)\end{matrix}$

The RTT sniffer 5606 knows: when the challenge signal is received at theRTT sniffer 5606; when the response signal is received at the RTTsniffer 5606; and a number of slave clock cycles between when the slavedevice received the challenge signal and when the slave devicetransmitted the response signal. The RTT sniffer 5606 (or listener) maydetermine a difference between the time T_(SLRX) that the RTT sniffer5606 receives the response signal and time T_(MLRX) when the RTT sniffer5606 receives the challenge signal using equation 8, where: T_(SL) isthe amount of time for the RTT sniffer 5606 to receive the responsesignal; FixedOffset₂ is a second amount of offset time, which may begreater than or equal to 0; T_(ML) is the amount of time for the RTTsniffer 5606 to receive the challenge signal; T_(SLRX) is the time theRTT sniffer 5606 receives the response signal; and T_(MLRX) is the timethe RTT sniffer 5606 receives the challenge signal.

T _(MS) +T _(SDELAY) +T _(SL)+FixedOffset₂ −T _(ML) =T _(SLRX) −T_(MLRX)  (8)

Since the master device and the RTT sniffer 5606 are cooperating,information is shared such that one or more of these devices mayestimate the distance to the slave device based on equations 9-11. Thesum of T_(MS) and T_(SL) may be substituted for to provide equations9-11.

$\begin{matrix}{{\frac{T_{RX} - T_{TX} - T_{S{DELAY}} + {{Fixed}{Offset}_{1}}}{2} + T_{S{DELAY}} + T_{SL} + {{Fixed}{Offset}_{2}} - T_{ML}} = {T_{SLRX} - T_{MLRX}}} & (9)\end{matrix}$ $\begin{matrix}{{\frac{T_{RX} - T_{TX} + T_{S{DELAY}} + {{Fixed}{Offset}_{1}}}{2} + T_{SL} + {{Fixed}{Offset}_{2}} - T_{ML}} = {T_{SLRX} - T_{MLRX}}} & (10)\end{matrix}$ $\begin{matrix}{T_{SL} = {T_{SLRX} - T_{MLRX} - \frac{T_{RX} - T_{TX} + T_{S{DELAY}} + {{Fixed}{Offset}_{1}}}{2} - T_{SL} - {{Fixed}{Offset}_{2}} - T_{ML}}} & (11)\end{matrix}$

By measuring the arrival times of the challenge and response signals atthe RTT sniffer 5606 and sharing this information between the RTTsniffer 5606 and the master device, the distance between the vehicle andthe slave device can be estimated. The distance may be estimated by, forexample, the master device using the arrival times and the known timeT_(MS) and corresponding known signal transmission rates. The RTT of thechallenge signal may be determined based on the measured arrival times.The distance may then be determined based on the RTT and the knownsignal transmission rates.

FIG. 51 shows another location and distance determination system 5700including a RTT initiator 5702, a RTT responder 5704, and multiple RTTsniffers 5706. The RTT initiator 5702 and the RTT responder 5704 mayperform as any of the initiators, responders, BLE radios, RF circuitsdisclosed herein. The RTT sniffers 5706 may be located along with one ofthe RTT devices 5702, 5704 at a vehicle and include an antenna module(similar to the antenna modules 40 of FIG. 2 ). The devices 5702, 5704,5706 may each include a control module as described above to perform anyof the described operations. The RTT device in the vehicle may alsoinclude an antenna module similar to the antenna modules 40 of FIG. 2 .Polarization diversity is provided: between the antennas of the RTTdevices 5702, 5704; and between the antennas of one of the RTT devices5702, 5704 that is in the vehicle and the RTT sniffers 5706.Polarization diversity is especially utilized when performing round triptiming measurements in order to measure direct paths between antennasinstead of a bounce path. This prevents nulls of antennas from beingaligned and cross-polarization.

The one of the RTT devices 5702, 5704 that is in the vehicle may bereferred to as the master device, whereas the other one of the RTTdevices 5702, 5704 is referred to as the slave device. When the masterdevice transmits a challenge signal to the slave device, the RTTsniffers 5706 perform as listeners and detect when the challenge signalis transmitted and detect when the slave device transmits a responsesignal to the challenge signal. The RTT devices 5702, 5704 may operatesimilarly as the RTT devices 5602, 5604 of FIG. 50 . Each of the RTTsniffers 5706 may operate similarly as the RTT sniffers 5606.

Time TAB is the amount of time for the challenge signal to betransmitted from the RTT initiator 5702 to the RTT responder 5704. TimeTBA is the amount of time for the corresponding response signal to betransmitted from the RTT responder to the RTT initiator. Time TAC is theamount of time for the first RTT sniffer to receive the challengesignal. Time TBC is the amount of time for the first RTT sniffer toreceive the response signal. Time TAD is the amount of time for thesecond RTT sniffer to receive the challenge signal. Time TBD is theamount of time for the second RTT sniffer to receive the responsesignal. Time TAE is the amount of time for the third RTT sniffer toreceive the challenge signal. Time TBE is the amount of time for thethird RTT sniffer to receive the response signal. When TAB and TAC areknown, TBC can be calculated. When TAB and TAD are known, TBD can becalculated. When TAB and TAE are known, TBE can be calculated.

If there is enough RTT sniffers, time TAB may be calculated. For exampleif three RTT initiators know the locations of the RTT initiatorsrelative to the master device (or initiator), then the time TAB may becalculated. This may be accomplished using equations 12-17 with theassumption that all reflections are instantaneous, where: TRxAC is thetime when the first RTT sniffer receives the challenge signal; TRxBC isthe time when the first RTT sniffer receives the response signal; TRxADis the time when the second RTT sniffer receives the challenge signal;TRxBD is the time when the second RTT sniffer receives the responsesignal; TRxAE is the time when the third RTT sniffer receives thechallenge signal; TRxBE is the time when the third RTT sniffer receivesthe response signal; deltaRxAtC is the difference in time between whenthe first RTT sniffer receives the response signal and when the firstRTT sniffer receives the challenge signal; deltaRxAtD is the differencein time between when the second RTT sniffer receives the response signaland when the second RTT sniffer receives the challenge signal;deltaRxAtE is the difference in time between when the third RTT snifferreceives the response signal and when the third RTT sniffer receives thechallenge signal. The location of the slave device (or responder) mayalso be determined using equations 18-25, where: xa is the x coordinateof the master device; ya is the y coordinate of the master device; za isthe z coordinate of the master device; xb is the x coordinate of theslave device; yb is the y coordinate of the slave device; zb is the zcoordinate of the slave device; xc is the x coordinate of the first RTTsniffer; yc is the y coordinate of the first RTT sniffer; zc is the zcoordinate of the first RTT sniffer; xd is the x coordinate of thesecond RTT sniffer; yd is the y coordinate of the second RTT sniffer; zdis the z coordinate of the second RTT sniffer; xe is the x coordinate ofthe third RTT sniffer; ye is the y coordinate of the third RTT sniffer;ze is the z coordinate of the third RTT sniffer. The x, y, z coordinatesof the master device and the slave device are known and the x, y, zcoordinates of the slave device are determined. TBC, TBD, and TBE may bedetermined in a similar manner, as described above.

TAB+TBC−TAC=TRxBC−TRxAC=deltaRxAtC  (12)

TAB+TBD−TAD=TRxBD−TRxAD=deltaRxAtD  (13)

ti TAB+TBE−TAE=TRxBE−TRxAE=deltaRxAtE  (14)

TBC=deltaRxAtC+TAC−TAB  (15)

TBD=deltaRxAtD+TAD−TAB  (16)

TBE=deltaRxAtE+TAE−TAB  (17)

Equations 18-21 are trilateration equations.

(xb−xa)²+(yb−ya)²+(zb−za)² =TAB ²  (18)

(xb−xc)²+(yb−yc)²+(zb−zc)² =TBC ²  (19)

(xb−xd)²+(yb−yd)²+(zb−zd)² =TBD ²  (20)

(xb−xe)²+(yb−ye)²+(zb−ze)² =TBE ²  (21)

By substituting 4 equations with 4 variables provides equations 22-25.

(xb−xa)²+(yb−ya)²+(zb−za)² =TAB ²  (22)

(xb−xc)²+(yb−yc)²+(zb−zc)²=(deltaRxAtC+TAC−TAB)²  (23)

(xb−xd)²+(yb−yd)²+(zb−zd)²=(deltaRxAtD+TAD−+TAB)²  (24)

(xb−xe)²+(yb−ye)²+(zb−ze)²=(deltaRxAtD+TAD−TAB)²  (25)

When three RTT sniffers (e.g., the RTT sniffers 5706 shown) are used,trilateration may be performed using three circles to measure distancesand determine the location of the slave device relative to one of theRTT devices 5702, 5704 and/or the corresponding vehicle. This may beperformed at the master device and/or at one or more of the RTTsniffers. The information determined at the master device and the RTTsniffers may be shared with each other. The times, distances and/orlocations may be determined and thus updated periodically.

In the vehicle, if there is an object (e.g., a head of a vehicleoccupant) near and/or between the antenna modules of the master deviceand one or more of the RTT sniffers, such that the object interfereswith the signals transmitted by the master device, then the round triptiming measures may be periodically updated. This may be done to measurethe distance between the master device and the RTT sniffer to detectwhen the corresponding physical environment/system has changed.

FIG. 52 shows a first network device (or vehicle) 5800 and a secondnetwork device (or portable network device) 5802. The first networkdevice 5800 includes a tone exchange responder 5804 and a tone exchangeinitiator 5806. A tone exchange is also referred to as an unmodulatedcarrier tone exchange. The second network device 5802 includes a toneexchange initiator 5808 and a tone exchange responder 5810. The devices5804, 5806, 5808, 5810 may be implemented as any of the other BLEradios, RF circuits, initiators, responders, etc. disclosed herein. Atleast one of the devices 5804, 5808 and at least one of the devices5806, 5808 may include or be connected to a single polarized antenna anda circular polarized antenna. The devices 5804, 5806, 5808, 5810 mayeach include the antenna module 40 of FIG. 2 and/or the antennas shownin FIG. 11 .

Tone exchange may be performed between the responder 5804 and theinitiator 5808 and between the initiator 5806 and the responder 5810.RTT measurements may be transmitted in the same packets as the tonesbeing exchanged. The devices 5804, 5806, 5808, 5810 may randomly selectthe channels used for the transmission of the packets. The transmissionof packets may occur simultaneously with the reception of packets. Forexample, the initiator 5808 may transmit a tone to the responder 5804 ona first channel while the initiator 5808 receives a tone from theresponder 5804 on a second channel. The initiator 5806 may transmitand/or receive tones while the initiator 5804 is transmitting and/orreceiving tones.

The network devices 5800, 5802 may be synchronized ahead of timethrough, for example, a sequence signal exchanges (or handshake) tosynchronize clocks of the network devise 5800, 5802. Thissynchronization may be performed to allow the network devices tosimultaneously transmit signals to each other. As an example, two 1 MHzsignals transmitting data at 1 Mbps each may be transmitted. The signalsmay be 2 MHz apart from each other. This prevents an attacking devicefrom being able to perform an attack, such as a range extension attackor an attack including active manipulating of tones. If the attackeruses a bandpass filter that is 1 MHz wide, the bandpass filter wouldhave a large amount of lag time and thus would not respond quick enoughto allow an attack to occur. If the attacker uses a wideband bandpassfilter, such as a 4 Mhz bandpass filter, then the corresponding signaleye diagram would have too much noise to make out the signalstransmitted by the network devices 5800, 5802. As another example, thesignals may be transmitted from the network devices with a symboltransmission rate of less than or equal to a predetermined amount oftime (e.g., 1 μs per symbol). This provides quick transmission, whichprevents an attack. Also, the simultaneous of dual signals furtherprevents an attacker from succeeding because the attacker would need todetect and affect both signals. Both signals may be transmitted ondifferent frequencies, by the same network device or by differentnetwork devices, as described above.

The devices 5804, 5806, 5808, 5810 may change the frequencies of thetones transmitted, monitor changes in phase due to the changes infrequencies and based on the changes in phases determine distancebetween the network devices 5800, 5802. This may be referred to ascarrier phase based ranging. As an alternative, if a signal istransmitted and received as a result of the signal being reflected backto the source, a difference in phase between the transmitted signal andthe received signal may be used to determine a modulo of distancebetween the source and the reflector. Similarly, an initiator maydetermine a modulo of a distance between the initiator and a responderbased on a difference in phase between (i) a signal transmitted from theinitiator to the responder and (ii) a corresponding response signaltransmitted from the responder back to the initiator. A slope of phasedifference for an amount of change in frequency corresponds to or isequal to distance with a frequency step size limitation. The smaller thefrequency steps, the larger the modulo roll over distance (see “On theSecurity of Carrier Phase-based Ranging” by Olafsdotter, Ranganathan,and Capkun, which is incorporated herein by reference.

As another example, received signal strength indicator (RSSI) parametermay be monitored to determine if network device is close to vehicle andthen perform a series of tone exchanges to measure distance. Based on adoor handle touch of a user, tone exchanges may be conducted to makesure there is not an attack. Multiple round trip timing measurements maybe performed to determine distance of the network device relative to thevehicle.

The above stated distance determination techniques may be used incombination with other techniques disclosed herein for determining RTTvalues. The direction of travel of the tones between the devices 5804,5806, 5808, 5810 may be randomized.

In one embodiment, a control module of the first network device 5800plots changes in phase versus changes in frequency for each of multipletones being exchanged to generate multiple linear curves. The controlmodule determines the slopes of the curves, which provide ratios of thechanges in phase versus the changes in frequencies. The slopes are thenused to determine the distances between the adjacent ones of the curves,which are related to the distance between the first and second networkdevices 5800, 5802.

FIG. 53 shows a location determination system 5900 including a toneexchange initiator 5902, a tone exchange responder 5904, and a toneexchange sniffer 5906. The tone exchange initiator 5902 and the toneexchange responder 5904 may perform as any of the initiators,responders, BLE radios, RF circuits disclosed herein. The tone exchangesniffer 5906 may perform similar to the RTT sniffer 5606 of FIG. 50 andbe located along with one of the tone exchange devices 5902, 5904 at avehicle and include one of the antenna modules 40 of FIG. 2 while thetone exchange device in the vehicle includes the other one of theantenna modules 40. The devices 5902, 5904, 5906 may each include acontrol module as described above to perform any of the describedoperations. Polarization diversity is provided: between the antennas ofthe tone exchange devices 5902, 5904; and between the antennas of one ofthe tone exchange devices 5902, 5904 that is in the vehicle and the toneexchange sniffer 5906. Polarization diversity is especially utilizedwhen performing round trip timing measurements.

The one of the tone exchange devices 5902, 5904 that is in the vehiclemay be referred to as the master device, whereas the other one of thetone exchange devices 5902, 5904 is referred to as the slave device.When the master device transmits tones to the slave device and viceversa, the tone exchange sniffer 5906 performs as a listener and detects(i) when the tones are transmitted to and/or received at the toneexchange sniffer 5906, (ii) when the slave device transmits tones to themaster device, and/or (iii) when the tone exchange sniffer 5906 receivestones transmitted by the slave device. The slave device may operate as areflector and transmit tones received from the master device back to themaster device. The master device and/or the sniffer device may preventat least one of access to or operation control of the vehicle based onthe arrival times of the tones, round trip timing measurements, and/orestimated distances between the devices.

FIG. 54 shows a method of determining distances between an initiator anda responder and between a responder and a sniffer. Although thefollowing operations of FIG. 54 are primarily described with respect tothe implementations of FIGS. 50 and 53 , the operations may be easilymodified to apply to other implementations of the present disclosure,such as the implementations of FIGS. 2-6, 11, 14, 39 and 46-49 . Theoperations may be iteratively performed. Although the method isprimarily described with respect to the embodiment of FIG. 53 , themethod may be applied to other embodiments of the present disclosure.

The method may begin at 6000. At 6002, the tone exchange initiator 5902transmits a tone signal including a tone to the tone exchange responder5904. The tone may be represented as e^((jωt+ϕ) ^(A) ^()·τ) ^(AB) ,where A is the tone exchange initiator 5902, B is the tone exchangeresponder 5904, τ_(AB) is time to travel from A to B and is directlyrelated to the distance between the tone exchange initiator 5902 and thetone exchange responder 5904, ω is frequency, ϕ_(A) is the phase of thetone at the tone exchange initiator 5902, t is time.

At 6004, the tone is received at the tone exchange responder 5904 withdelay ϕ_(B) and the tone exchange sniffer 5906 with delay ϕ_(C). At thetone exchange responder 5904, the receive tone signal is downconvertedto baseband, which may be represented by equation 26.

e ^((j(ωt+ϕ) ^(A) ⁾⁾ e ^((jωτ) ^(AB) ⁾ e ^((−j(ωt+ϕ) ^(B) ⁾⁾ =e ^((jωτ)^(AB) ^(+ϕ) ^(A) ^(−ϕ) ^(B) ⁾  (26)

At the tone exchange sniffer 5906, the receive tone signal isdownconverted to baseband, which may be represented by equation 27.

e ^((j(ωt+ϕ) ^(A) ⁾⁾ e ^((jωτ) ^(AC) ⁾ e ^((−j(ωt+ϕ) ^(C) ⁾⁾ =e ^((jωτ)^(AC) ^(+ϕ) ^(A) ^(−ϕ) ^(C) ⁾  (27)

At 6006, the tone exchange initiator 5902 receives the tone from thetone exchange responder 5904, which retransmitted the tone signal as asecond tone signal back to the tone exchange initiator 5902. The tonemay be represented as e^((jωt+ϕ) ^(A) ^()·τ) ^(AB) . The received secondtone signal may be represented by equation 28. The tone exchange sniffer5906 also receives the second tone signal, which may be represented byequation 29.

e ^((j(ωt+ϕ) ^(B) ⁾⁾ e ^((jωτ) ^(AB) ⁾ e ^((−j(ωt+ϕ) ^(A) ⁾⁾ =e^((j(ωt+ϕ) ^(A) ⁾⁾  (28)

e ^((j(ωt+ϕ) ^(B) ⁾⁾ e ^((jωτ) ^(BC) ⁾ e ^((−j(ωt+ϕ) ^(C) ⁾⁾ =e ^((jωτ)^(BC) ^(+ϕ) ^(B) ^(−ϕ) ^(C) ⁾  (29)

At 6008, the tone exchange initiator 5902 receives a phase signal fromthe tone exchange responder 5904 indicating a natural logarithm tonevalue with a difference in phase of the tone when received at the toneexchange responder 5904. The tone exchange responder 5904 thus sends ameasured phase to the tone exchange initiator 5902, where values aremultiplied, as represented by equation 30.

e ^((jωτ) ^(AB) ^(ϕ) ^(A) ^(−ϕ) ^(B) ⁾ e ^((jωτ) ^(BA) ^(ϕ) ^(B) ^(−ϕ)^(A) ⁾⁼ e ^((jωτ) ^(AB) ⁾  (30)

At 6010, the tone exchange sniffer 5906, based on the received tonesignals, determines tone values associated with: a difference in phaseof the tone between when transmitted from the tone exchange initiator towhen received at the tone exchange sniffer; and a difference in phase ofthe tone between when transmitted from the tone exchange responder towhen received at the tone exchange sniffer. The tone values may berepresented as e^((jωτ) ^(BC) ^(+θ) ^(B) ^(−θ) ^(C) ⁾ and e^((jωτ) ^(AC)^(+θ) ^(A) ^(−θ) ^(C) ⁾.

At 6012, the initiator 5902 and/or the sniffer 5906 determines thedistances between the initiator 5902 and the responder 5904 and betweenthe initiator 5902 and the sniffer 5906. The distance values may bedetermined in a similar manner as above when sniffing round trip time,see for example equations 12 and 15 and corresponding description.Instead of round trip time, phase is used. This calculation may includeuse of equation 31, where the tone values e^((jωτ) ^(BC) ^(+θ) ^(B)^(−θ) ^(C) ⁾ and e^((jωτ) ^(AC) ^(+θ) ^(A) ^(−θ) ^(C) ⁾ are measured ordetermined at the sniffer 5906, e^((jωτ) ^(AC) ⁾ is known apriori, andtone value e^((jωτ) ^(AB) ^(+θ) ^(A) ^(−θ) ^(B) ⁾ is determined at theresponder 5904.

e ^((jωτ) ^(BC) ^(+θ) ^(B) ^(−θ) ^(C) ⁾ e ^((−jωτ) ^(AC) ^(−θ) ^(A)^(+θ) ^(C) ⁾ e ^((jωτ) ^(AC) ⁾ e ^((jωτ) ^(AB) ^(+θ) ^(A) ^(−θ) ^(B) ⁾=e ^((jωτ) ^(BC) ^(+jωτ) ^(AB) ⁾ =e ^(jω(τ) ^(BC) ^(+τ) ^(AB) ⁾  (31)

The initiator 5902 and/or the sniffer 5906 may take the inverselogarithm of the resultant of equation 31 to provide the times τ_(BC)and τ_(AB). The distances between the responder 5904 and the sniffer5906 and between the initiator 5902 and the responder 5904 may than bedetermined based on these times and the known transmission rates of thetone signals. The method may end at 6014. The initiator 5902 or thesniffer 5906 may prevent at least one of access to or operation controlof the vehicle based on the estimated at least one of the distances.

FIG. 55 shows an example of a passive tone exchange and phase differencedetection system 6100. The system 6100 includes a phase lock loop (PLL)6102, a phase module 6104, a transmitter 6106, a receiver 6108, andantenna modules 6110. The antenna module 6110 may be similar to theantenna modules 40 of FIG. 2 . The transmitter 6106 transmits a firsttone, which may be an output of the PLL 6102 and is reflected back by areflector 6112 to the receiver 6108. The output of the PLL and thereflected tone signal are provided to the phase module 6104. The phasemodule 6104 determines a difference in phase between the output of thePLL and the reflected tone signal. The phase module 6104 or other moduledisclosed herein determines a distance between the transmitter 6106 andthe reflector 6112 based on the difference in phase. The phase module6104 or other module disclosed herein may prevent access to an interiorof and/or operational control of a vehicle based on the determineddistance.

FIG. 56 shows an example of an active tone exchange and phase differencedetection system 6200. The system 6200 operates similarly as the system6100 of FIG. 55 . The transmitter and receiver 6106, 6108 arerepresented by box 6202. The reflector 6112 of FIG. 55 may be replacedwith responder device 6204 for active exchange of tones. The responderdevice 6204 may receive a first tone signal with a first one or moretones from the transmitter 6106 and respond with a second tone signal.The second tone signal may include the one or more tones and/or one ormore other tones. The second tone signal is transmitted back to thereceiver 6108.

FIG. 57 shows an initiator packet 6300 and a response packet 6302 usedfor RSSI and time-of-flight measurements. The initiator packet 6300 mayinclude multiple fields, such as a preamble, a synchronization accessword (e.g., a pseudo-random synchronization access word), a data fieldincluding data, a cyclical redundancy check (CRC) field including CRCbits, and a continuous wave (CW) tone field including a CW tone. Theresponse packet 6302 may include a CW tone field, a preamble, asynchronization access word, a data field, and a CRC field.

An initiator device may transmit the initiator packet 6300, which may bereceived at a responder device. The responder device may then generatethe response packet 6302 and transmit the response packet back to theinitiator device. This may be done for tone exchange, phase differencedetermination, round trip timing measurements, etc. Distance between thedevices may then be determined. These measurements and calculations maybe performed to detect a range extender type relay station attack. In anembodiment, the initiator and the responder pre-negotiate what thesynchronization access words are going to be based on a predeterminedlist. The synchronization access words include access addresses. Theinitiator may, for example, measure the amount of time to receive (i)the response packet after transmitting the initiator packet, and/or (ii)the synchronization access word. The amount of times and thesynchronization access word may be compared with predetermined amountsof times and a predetermined synchronization access word. If thecomparisons performed result in matches, then a range extender typerelay station attack has not occurred. However, if the synchronizationaccess word received does not match and/or the amounts of time are morethan a predetermined amount different than expected, then a rangeextender type relay station attack may have occurred.

In an embodiment, the initiator and responder exchange a predeterminedkey, list of synchronization access words, and times when each of thesynchronization access words are to be transmitted. The synchronizationaccess words when initially created may be randomly selected. Thisallows the responder to know the correct key and/or synchronizationaccess word to respond with when receiving an initiator packet. The keymay be included in the response packet. In another embodiment, theinitiator and response packets do not include the preambles, as shown inFIG. 58 . In an embodiment, the CW tones are 4-10 μs in length.

In another embodiment, the initiator packet and the response packet havethe same format as shown in FIG. 59 . Each of the packets includes: as afirst field a first CW tone; a synchronization access word; a datafield; a CRC field; and as a last field a second CW tone. Anotherexample of initiator and response packets having the same format isshown in FIG. 60 , where each packet includes: as a first field a firstCW tone; a synchronization word including a PACRMBI; a PDU fieldincluding a PDU; a medium access controller (MAC) field; a CRC field,and as a last field a second CW tone. The CW tones of FIGS. 57-60 may becryptographically random length tones and may be inspected by theinitiator when received. When for example CW tones received from aresponder are not correct, then a range extender type relay stationattack may have occurred. With the embodiments of FIGS. 59-60 ,synchronization word round trip timing prevents wraps of a CW toneexchange beyond an ambiguous range (e.g., 75 meters) at 2 MHz channeltone steps. The above referred to initiator and responder packets may betransmitted at a same frequency. By having the initiator and responderpackets being in the same format, an attacking device is unable todistinguish which packet is the initiator packet and which packet is theresponder packet. In one embodiment, the CW tones at the end of thepackets are not included.

In an embodiment, the timing, frequencies, lengths, power levels,amplitudes, and content of the CW tones and synchronization access wordsof the initiator and responder packets are inspected at the initiatorand at the responder to determine if correct and/or consistent andidentify if an attack has occurred. In an embodiment, a pseudo-randomnumber of packets are exchanged at a first frequency before changing toa next frequency and exchanging another pseudo-random number of packets.

Since an attacking device typically includes filters (e.g., low pass andband pass filters) and mixers (e.g., a downconverter and anupconverter), an attacking device causes delays when relaying a signal.In order for an attack by an attacking device to not be detected, theattacking device needs to retransmit a received signal withoutdetectable delay. This makes it difficult for the attacking device to goundetected. An attacking device can delay a signal 500 ns, which candelay the signal in space 500 feet (ft). In order for an attackingdevice to advance transmission of a tone or start transmission of a toneat a correct time, the attacking device may need to know ahead of timewhat is being transmitted. This is unlikely. This is especially truewhen a heterodyne receiver is used to receive the relayed signal. Theheterodyne receiver translates packets/tones into an in-phase(I)—quadrature-phase (Q) domain and captures in the IQ domain. In the IQdomain phase differences are detected. If there is an attack, the delayresulting from the attack can be detected in the IQ domain based onphase differences. If a tone is shortened by an attacking device, suchthat the corresponding synchronization access word arrives at thecorrect time, then the timing and length of the CW tone is incorrect andgets detected by the initiator.

In an embodiment, the initiator inspect the received CW tonestransmitted from the responder for (i) length relative to a start of atransmitted synchronization access word, (ii) consistent power (oramplitude) before and relative to the synchronization access word, and(iii) consistent tone throughout the synchronization access word.Consistent tone may refer to a consistent frequency, power level,amplitude, etc. In another embodiment, the start and end times of thesynchronization access word relative to a beginning of a first CW toneof a transmitted packet may be known within a predetermined amount oftime (e.g., ±10 ns range). So if the start and end times are withinpredetermined ranges of a beginning of a first CW tone of the packet,then there has not been an attack, otherwise an attack may haveoccurred.

As another example, a PLL of an initiator that transmits a tone may, ona given channel, have 3 different tones which the PLL is able togenerate; a center tone, a high tone at a first frequency (e.g., 250KHz), and a low tone at a second predetermined frequency (e.g., −250KHz). The transmitted tones may be selected and transmitted according toa predetermined agreed to random sequence and/or pattern of tones. Thismay be agreed to between the initiator and the responder. The PLLs ofthe initiator and an attacking device may not be consistent with eachother. If there is a frequency difference greater than a predeterminedthreshold between the initiator transmitted signal and the signalreceived in response thereto, then the initiator may determine that anattack has occurred.

In an embodiment, the responder is able to measure and respond back indata with what phase delay the responder detects for a received signal.This may be based on when the responder receives a tail end CW tone of apacket from an initiator. The responder may measure a phase delaybetween (i) the tail end (or ending) CW tone of the packet received fromthe initiator and (ii) a front end (or first leading CW tone) of apacket being transmitted by the responder in response to the packetreceived from the initiator. The initiator may calculate the totalbi-directional round trip time of the packet from the initiator to theresponder and then from the responder back to the initiator.

In addition to detecting delay is a signal, an initiator may also detectwhen an attacking device amplifies the signal (or tone). The amplifyingof a signal/tone can also delay transmission, which may be detected.During the relaying of tones at an attacking device, a tone can getdistorted and/or another tone can get transmitted instead of theoriginally transmitted tone.

The above examples allow for more accurate distance measurements with afewer number of packets that each have both a synchronization accessword and a CW tone. The synchronization access word protects the CW toneand vice versa from being modified by an attacking device withoutdetection. Bidirectional randomization communication protecting both thesynchronization access words and the CW tones is performed.

A PLL as disclosed herein of an initiator may be a phase predictable PLLallowing the initiator to predict a phase of signal when a frequency ofthe signal is changed. This may eliminate a need to check if timing of aCW tone transmitted by the initiator and a CW tone transmitted by aresponder are correct. A responder may measure when, for example, a tailend CW tone from an initiator is received, determine the correspondingphase delay of the tail end CW tone relative to generation of a frontend CW tone by the responder for a response signal, and transmit thisinformation with the front end CW tone to the initiator. The initiatormay then calculate a total round trip time based on the receivedinformation.

In an embodiment, an initiator is one of a vehicle or a portable accessdevice and a responder is the other one of the vehicle and the portableaccess device. The order in which the vehicle and the portable accessdevice transmit and respond is pseudo-randomly changed. Also, a packetand/or tone signal may be sent as a response and then be used as aninitiator packet and/or initiator tone signal. In one embodiment, theorder in which the vehicle and the portable access device transmit andrespond is not changed for short periods of time (e.g., exchange periodsless than a predetermined period of time) and are changed for longexchange periods (e.g., exchanged periods greater than for equal to thepredetermined period of time). The order may be switched periodically.In these examples, bi-directional data is exchanged using antennapolarization diversity to provide correct timing measurements.

Processing is implemented to provide accurate measurements of start andend points of CW tones and synchronization access words. The correlationand protocol module 3920 may maintain a circular queue of bits and lockin to do a comparison between start and end times and lengths of CWtones and synchronization access words of transmitted (initiator)packets and start and end times and lengths of CW tones andsynchronization access words of received (responder) packets. Thecorrelation and protocol module 3920 may interpolate where zero-crossingpoints are located. Post processing on I and Q data associated with asynchronization access word may be performed for clock recovery tointerpolate when the synchronization access word arrived. I and Q datamay have different transition/spin rates. Interpolation may be performedto determine where center points of transitions are to obtain precisetiming for clock recovery. To dial in the timing, multiple zero-crossingpoints may be detected and aligned. Also, I and Q data may beoversampled as described further below to best fit/align one or morebits.

FIG. 61 shows an antenna path determining system 6700 for networkdevices having respective antenna modules. The antenna modules exhibitpolarization diversity. In this example, two polarization axes for eachantenna module are shown. Each antenna module includes a verticallyoriented antenna and a horizontally oriented antenna. Possible channelvectors h_(VV), h_(VH), h_(HV) and h_(HH) are shown. Ranging modules6710 are shown. The ranging modules 6710, based on a respective one ofthe channel vectors h_(VV), h_(VH), h_(HV) and h_(HH), determines arange (or distance) between the corresponding antennas of the networkdevices. The ranging modules may executing ranging algorithms todetermine ranges {circumflex over (r)}_(VV), {circumflex over (r)}_(VH),{circumflex over (r)}_(HV) and {circumflex over (r)}_(HH). Thedetermined ranges {circumflex over (r)}_(VV), {circumflex over(r)}_(VH), {circumflex over (r)}_(HV) and {circumflex over (r)}_(HH) areprovided to a minimum module 6712 that determines which of the ranges{circumflex over (r)}_(VV), {circumflex over (r)}_(VH), {circumflex over(r)}_(HV) and {circumflex over (r)}_(HH) is the shortest. The path thatis the shortest may be selected.

Each of the channel vectors may be generated for one or more selectedfrequencies. When compared, the ranges may be generated for channelvectors of a same frequency or different frequencies. As an example,vectors may be generated for at least some of 80 different tones havinga frequency step of 1 MHz between adjacent ones of the tones and beingwithin a 2.4 GHz industrial, scientific and medical (ISM) band. Afrequency associated with the shortest range may be selected. Otherfactors may also be considered when making the selection, such as signalstrength, amplitude, voltage, parameter consistency, etc. This pathselection may be performed by any of the initiators, responders,modules, network devices, etc. disclosed herein and used for round triptiming measurements. This allows a best antenna path to be selected forbidirectional packet and/or tone signal exchange for determining a roundtrip time.

Referring now to FIGS. 38 and 62 , which shows an example radio model6800 that corresponds with structure, functioning and operations of theBLE radio 3900 (and/or a modified version of the BLE radio 3900) of FIG.38 and a RF channel and corresponding RF circuitry. The radio model 6800may include a first sampling module 6802, a time offset module 6804, aGaussian low pass filter 6806, an integrator 6808, a first up-sampler6810, an amplifier 6812, a summer 6814, a modulator 6816, a secondsampling module 6818, a phase and frequency offset module 6820, a firstmixer 6822, a phase delay device 6823, a second mixer 6824, a phasedelay module 6826, a second low pass filter 6828, a resample module6830, an arctangent module 6832, a differentiator 6834, a signdetermining module 6836, a bit pattern module 6838, a second up-sampler6840, a third up-sampler 6842, a cross-correlation module 6844 and apeak detector 6846. The devices 6802, 6804, 6806, 6808, 6810, 6812 mayrepresent an example of the transmitter portion of the BLE radio 3900 oranother BLE radio. The summer 6814 represents the channel between (i)the another BLE radio, and (ii) BLE radio 3900 including the devices3907, 3906, 3908, 3932 and 3910. Phase and frequency offset may existbetween the receiving BLE radio and the transmitting BLE radio becausethe receiving BLE radio may not be phase locked to the transmitting BLEradio. The devices 6816, 6818, 6820, 6822, 6824, 6828, 6830 correspondto the receiver portion of the BLE radio and are associated with an RFsampling rate. The devices 6830, 6832, 6834, 6836, 6838 correspond tothe receiver portion and perform operations on baseband signals. Theresample module 6830 performs as an analog-to-digital converter. Thedevices 6840, 6842, 6844 and 6846 also correspond to the receiverportion and are associated with interpolation to determine a phase.

When recovering a bit stream, zero-crossings of a reconstructed signalout of the differentiator 6834 may be determined. There can be asignificant amount of jitter at the zero-crossings, which negativelyaffects time-of-flight determinations, which are based on timing of thezero-crossings. A small amount of jitter negatively affects transmittime and receive time determinations.

The up-samplers 6840, 6842 and the cross-correlation module 6844 areimplemented to reduce jitter associated with sampling and zero-crossingdeterminations. The up-samplers 6840, 6842 perform signal processing tointerpolate and inject data points between existing received data pointsto provide finer resolution in time.

In one embodiment, the transmitted bit stream is pre-known by the BLEreceiver and is provided to the up-sampler 6842 as shown by arrow 6843.In this example, the sign-determination module 6836 and the bit patternmodule 6838 are not included. In another embodiment, the transmitted bitstream is not known and the sign-determination module 6836 and the bitpattern module 6838 are included and provide an estimated bit stream tothe up-sample 6842. As an example, the transmitted bit stream may be anaccess address indicating what device is transmitting. The estimated bitstream may be determined based on a reference. For example, thereference may be a preamble of and/or a series of bits received prior tothe bit stream being estimated. The preamble and/or series of bitsprovide a reference in time based on which the estimated bit stream maybe generated. The estimated bit stream is generated based on a knownclock frequency of the transmitter and associated with the transmittedsignal and a clock frequency of the receiver.

The cross-correlation module 6844 performs a cross-correlation betweenoutputs of the up-samplers 6840, 6842 and/or a cross-correlation betweenthe outputs of the up-sampler 6840 and the bit pattern module 6838. Thecross-correlation is performed to match envelops of signals provided tothe cross-correlator and determine a phase difference. Thecross-correlation may include performing a product of the output signalsincluding taking products of corresponding data points of the two outputsignals and summing the products. This product and sum process isiterated while incrementally shifting one of the outputs in timerelative to the other one of the outputs by a data point for eachiteration to provide multiple resulting product-sum values. A maximumone of the product-sum values refers to when the two outputs are insynch (or aligned), such that the waveforms match and are aligned intime. Based on this information, the phase offset (or difference)between the two outputs is determined.

The cross-correlation has improved resolution due to the up-samplingperformed by the up-samplers 6840, 6842. The cross-correlation module6846 performs correlation with finer resolution signals then thatoriginally received to get a finer interpolation of a time of arrival ofa received packet in the received signal. The higher correlationresolution reduces signal noise ratios and bit lengths of messages andmay include interpolating with finer resolution. The phase offset may beused for time-of-flight determinations as described herein. The peakdetect module 6846 evaluates results of the cross-correlation andindicates (i) when the time matched peak occurred, and/or (ii) the phaseoffset. In one embodiment, the cross-correlation module 6844 receivesdigital values and the peak detect module 6846 determines if thecross-correlation output (or product-sum value) has reached apredetermined threshold. If the predetermined threshold has beenreached, then the peak detect module indicates “signal found” and phasedetermined.

In one embodiment, the output of the up-sampler 6840 is provided to thesign-determining module 6836 and the cross-correlation module 6844 andthe up-sampler 6842 is not included. In this example, the output of thebit pattern module 6838 is provided directly to the cross-correlationmodule 6844.

The devices of FIGS. 38 and 62 are further described with respect to themethod of FIG. 63 . Although the following operations of FIG. 63 areprimarily described with respect to the implementations of FIGS. 2-6,11, 14 and 38 , the operations may be easily modified to apply to otherimplementations of the present disclosure. The operations may beiteratively performed.

The method may begin at 6900. At 6902, the sampling module 6802 of afirst network device (e.g., a network device implemented in a vehicle aspart of an onboard vehicle system or a portable access device) receivesa bit stream to be transmitted from the processing module 3922. Thesampling module 6802 samples the bit stream.

At 6904, the time offset module 6804 receives an output of the samplingmodule 6802 and may introduce a time offset (or delay). The samplingmodule 6802 and the time offset module 6804 may be implemented by theprotocol module 3924. At 6906, the Gaussian low pass filter (LPF) 6806receives an output of the time offset module 6804, which may include abit stream that is filtered and converts square wave into a sinusoidalwave. Operation of the Gaussian LPF 6806 may be implemented by the GFSKmodulator 3926. At 6908, the integrator 6808 integrates an output of theGaussian LPF 6806 and may be implemented by the D/A and low pass filter3928. Example signals 7000, 7002, 7004 respectively out of the samplingmodule 6802, the Gaussian LPF 6806, and the integrator 6808 are shown inFIG. 64A.

At 6910, the up-sampler 6810 up-samples an output of the integrator 6808to include additional points per sample. The up-sampler 6810 may beimplemented by upconverter 3930. At 6912, the amplifier 6812 providesfrequency deviation gain. At 6914, the sampling module 6818 receives anRF tone, which may be provided by the PLL 3940. An output of thesampling module 6818 is provided to both the modulator 6816 and thephase and frequency offset module 6820. At 6916, the modulator 6816modulates an output of the sampling module 6818 based on an output ofthe amplifier 6812 to provide an initiator signal. The modulator 6816may be at least partially implemented by the upconverter 3930.

At 6918, the initiator signal out of the modulator 6816 may be providedto the power amplifier 3932 and transmitted to a second network device.The second network device may be a network device implemented in avehicle as part of an onboard vehicle system or a portable accessdevice. The initiator signal may be any of the initiator signals,initiated tone signals, master device transmitted signals, and/or thelike disclosed herein.

At 6920, the low noise amplifier 3910 receives a response signal inresponse to the initiator signal. The response signal may includeGaussian noise, which is included in the received response signal, asrepresented by the summer 6814. At 6922, the mixers 6822, 6824 receivethe response signal from the low noise amplifier 3910 and downconvertthe response signal to in-phase (I) and quadrature-phase (Q) basebandsignals. The quadrature-phase baseband signal may be phase delayed by90° via the phase delay device 6823. This may be implemented at thedownconverters 3912.

At 6924, the LPF 6828 filters the baseband signals and removes highfrequency content. The LPF 6828 may include multiple LPFs; one for eachdownconverted signal. The LPF 6828 may replace and/or be implemented bythe bandpass filter and amplifier 3914. At 6926, the resampling module6830 samples the filtered baseband signals with sample jitter. Theresampling module 6830 may be implemented by the A/D converter 3916.Example signals 7006, 7008 out of the resampling module 6830 are shownin FIG. 64B.

At 6928, the arctangent module 6832 determines an arctangent of thebaseband signals to generate an arctangent signal. An example signal7010 out of the arctangent module 6832 is shown in FIG. 64C. At 6930,the differentiator 6834 differentiates the arctangent signal out of thearctangent module 6832. An example signal 7012 out of the differentiator6834 shown over the original Gaussian filtered signal 7002 is shown inFIG. 64D.

At 6932, the sign module 6836 performs a sign function and determines asign of the output of the differentiator 6834. At 6934, the bit patternmodule 6838 determines an idealized (or reference) bit pattern based onthe output of the sign module 6836. The idealized bit pattern isobtained to match the bit pattern out of the Gaussian LPF 6806 or otherbit patterns with the received bit pattern after the operations of thelow pass filter 6828 and the arctangent module 6832 have been applied.This is done such that up-sampled values are similar to noise freeresampled data.

At 6936, the up-samplers 6840, 6842 up-sample respectively the outputsof the differentiator 6834 and the bit pattern module 6838. At 6938,outputs of the up-samplers 6840, 6842 are correlated by thecross-correlation module 6844 to generate a correlation signal. Thedevices 6832, 6834, 6836, 6838, 6840, 6842 may be implemented by thedemodulator 3918. At 6940, the peak detector 6846 determines a phase ofthe resulting correlated signal out of the cross-correlation module6844. The cross-correlation module 6844 and the peak detector 6846 maybe implemented by the correlation and protocol module 3920. In oneembodiment, the peak detector 6846 is implemented as a 3 point parabolicpeak interpolator on top of the up-sampled cross-correlation module6844. Two points near (within a predetermined distance of) the detectedpeak are selected and a 3 point parabolic interpolation of theup-sampled result is obtained.

At 6942, determine a distance, a location, a round trip time, and/orother parameter based on the phase (or 3 point parabolic interpolationof the up-sampled result). The distance may be a distance between thefirst network device and the second network device. The location may beof the second network device relative to the first network device. Theround trip time may be the time for the initiator signal to travel tothe second network device and for the first network device to receivethe response signal including time for the second network device togenerate the response signal after receiving the initiator signal.

At 6944, the processing module 3922 may determine whether a rangeextension type relay attack has occurred based on the phase, distance,location, roundtrip trip time, and/or other parameter determined at6942. If a range extension type relay attack has occurred, thenoperation 6946 may be performed, otherwise the method may end at 6948.At 6946, the processing module 3922 performs a countermeasure, such asany of the countermeasures disclosed herein.

The above-described operations of FIGS. 35, 36, 45, 54 and 63 are meantto be illustrative examples. The operations may be performedsequentially, synchronously, simultaneously, continuously, duringoverlapping time periods or in a different order depending upon theapplication. Also, any of the operations may not be performed or skippeddepending on the implementation and/or sequence of events.

There are variations in transmit timing between (i) the time a waveformthat is generated reaches antennas to be transmitted and (ii) thecorresponding time measured by a timer. Factors that may contribute tothis include clock domain crossing(s), clock period changes, poweramplifier propagation delay by a power amplifier gain setting,temperature and process propagation delay. Process, temperature andamplifier gain setting variations can be calibrated out of the timingmeasurement.

A second BLE device (e.g., the BLE device (or radio) 3900B) that issimilar or identical to a first BLE device (e.g., the BLE device (orradio) 3900A of FIG. 38 ) may be added and implemented in a vehicle torepresent a reflecting (or responder) device as shown in FIG. 49 . Eachof the BLE radios 3900 may be implemented on a separate system-on-chip(SoC). The first BLE radio 3900A may transmit an initiator signal, whichmay be received by the receiver portion of the second BLE device.

A time T1 may be generated for when a first bit stream is generatedand/or provided to the protocol module 3924A of the first BLE radio3900A to generate an initiator signal, which is to be transmitted fromthe first BLE radio 3900A as determined by the timers 3938A. A time T2may be when the correlation and protocol module 3920B of the second BLEradio 3900B receives the first bit stream as determined by the timers3938B. A first calibration constant CAL1 may be set equal to ordetermined based on a difference between when the timers 3938A detectgeneration of the first bit stream and when the corresponding initiatorsignal is transmitted from the antenna 3907A. A second calibrationconstant CAL2 may be set equal to or determined based on a differencebetween when the timers 3938B detect reception of the first bit streamat the correlation and protocol module 3920B. The time of flight for thefirst bit stream from the protocol module 3924A to the correlation andprotocol module 3920B is (T2-CAL2)-(T1-CAL1).

Similarly, a time T3 may be generated for when a second bit streamcorresponding to the first bit stream is generated and/or provided tothe protocol module 3924B to generate a response signal, which is to betransmitted from the second BLE radio 3900B as determined by the timers3938B. The response signal is generated in response to the initiatorsignal. A time T4 may be when the correlation and protocol module 3920Areceives the second bit stream as determined by the timers 3938A. Athird calibration constant CAL3 may be set equal to or determined basedon a difference between when the timers 3938B detect generation of thesecond bit stream and when the corresponding response signal istransmitted from the antenna 3907B. A fourth calibration constant CAL4may be set equal to or determined based on a difference between when thetimers 3938A detect reception of the second bit stream at thecorrelation and protocol module 3920A. The time of flight for the secondbit stream from the protocol module 3924B to the correlation andprotocol module 3920A is (T4-CAL4)-(T3-CAL3). Average time of flight,distance between the first and second BLE radios 3900 may be determinedusing equations 33-35, where equation 33 is based on equation 32 andaccounts for the stated timing variations and thus includes thecorresponding calibration values.

$\begin{matrix}{{{Average}{Time}{of}{Flight}} = \frac{\left( {T_{2} - T_{1}} \right) + \left( {T_{4} - T_{3}} \right)}{2}} & (32)\end{matrix}$

Gathering like information and adding calibration values:

$\begin{matrix}{{{Average}{Time}{of}{Flight}} = \frac{\left( {T_{2} - {CAL_{2}} - T_{1} + {CAL_{1}}} \right) + \left( {T_{4} - {CAL_{4}} - T_{3} + {CAL_{3}}} \right)}{2}} & (33)\end{matrix}$ $\begin{matrix}{{distance} = {(c)\left( \frac{\left( {T_{4} - {CAL_{4}} - T_{1} + {CAL_{1}}} \right) - \left( {T_{3} - {CAL_{3}} - T_{2} + {CAL_{2}}} \right)}{2} \right)}} & (34)\end{matrix}$

Separating the calibration from time measurements:

$\begin{matrix}{{distance} = {(c)\left( \frac{\left( {T_{4} - T_{1}} \right) - \left( {T_{3} - T_{2}} \right) + \left( {{CAL_{1}} - {CAL_{4}} + {CAL_{2}} - {CAL_{3}}} \right)}{2} \right)}} & (35)\end{matrix}$

The timers 3938B may launch with a processing agreement and/or performfine tuning of transmit time at the second BLE radio 3900B to minimizereporting about T2-T3.

The PLLs 3940A, 3942A of the first BLE radio 3900A may be implemented asa single PLL. Similarly, the PLLs 3940B, 3942B of the second radio 3900Bmay be implemented as a single PLL. Two PLLs allow hardware of thetransmit portion and the receive portion to be implemented on a same SoCwhile allowing capture of a transmit time of an initiator signal using asame BLE circuit that is used to capture a receive time of a responsesignal.

In accordance with the present teachings, a multi-axis polarized RFantenna assembly includes a circular polarized antenna including aconductive ring-shaped body having an inner hole, a circular isolatorconnected to the conductive ring-shaped body, and a linear polarizedantenna connected to the circular polarized antenna and the circularisolator and extending outward from the circular isolator. The linearpolarized antenna includes a sleeve, and a conductive element extendingthrough the sleeve. The linear polarize antenna extends orthogonal to aradius of the circular polarized antenna.

In accordance with the present teachings, the multi-axis polarized RFantenna can include the conductive element as a wire.

In accordance with the present teachings, the sleeve can be formed ofpolytetrafluoroethene and the conductive element can be formed ofcopper.

In accordance with the present teachings, the linear polarized antennacan be configured to extend downward from the circular polarized antennawhen is use.

In accordance with the present teachings, the circular polarized antennacan be a 2-axis antenna and the linear polarize antenna can a singleaxis antenna.

In accordance with the present teachings, the multi-axis polarized RFantenna can further include a ground layer, and the circular isolatorcan be disposed on the ground plane, between the conductive element andthe ground plane, and between the circular polarized antenna and theground plane.

In accordance with the present teachings, the circular polarized antennacan include two feed points 90° phase offset and configured to receivesignal 90° out of phase from each other.

In accordance with the present teachings, a vehicle can include a bodyand a roof including the multi-axis polarized RF antenna assembly. Themulti-axis polarized RF antenna assembly can be oriented in the roofsuch that the linear polarized antenna extends downward from thecircular polarized antenna.

In accordance with the present teachings, a vehicle can include themulti-axis polarized RF antenna assembly. The multi-axis polarized RFantenna assembly can include a first multi-axis polarized RF antennaassembly configured to be implemented in a vehicle and a secondmulti-axis polarized RF antenna assembly configured to be implemented inthe vehicle and including a second circular polarized antenna includinga second conductive ring-shaped body having a second inner hole, asecond circular isolator connected to the second conductive ring-shapedbody, and a second linear polarized antenna connected to the secondcircular isolator and extending outward from the second circularisolator. The second linear polarized antenna can include a sleeve, anda conductive element extending through the sleeve of the second linearpolarized antenna. The second linear polarize antenna can extendorthogonal to a radius of the second circular polarized antenna and anaccess module connected to the first multi-axis polarized RF antennaassembly and the second multi-axis polarized RF antenna assembly andconfigured to communicate with a portable access device via the firstmulti-axis polarized RF antenna assembly and the second multi-axispolarized RF antenna assembly.

In accordance with the present teachings, at any moment in time, atleast one of the linear polarized antenna or the first multi-axispolarized RF antenna assembly is not cross-polarized with an antenna ofthe second multi-axis polarized RF antenna assembly.

In accordance with the present teachings, the access module can beconfigured to perform passive entry passive start operations or phone asa key operations including transmitting and receiving radio frequencysignals via the first one of the multi-axis polarized RF antennaassembly and the second one of the multi-axis polarized RF antennaassembly.

In accordance with the present teachings, the access module can beconfigured to permit access to the vehicle based on the radio frequencysignals.

In accordance with the present teachings, the access module can beconfigured to execute an algorithm to determine which antenna pair ofthe first one of the multi-axis polarized RF antenna assembly and thesecond one of the multi-axis polarized RF antenna assembly to use forcommunication with the portable access device.

In accordance with the present teachings, the portable access device canbe a key fob or a cellar phone.

In one embodiment, a phone as a key system as described herein uses aBLE radio of a cell phone to micro-locate a position of the phonerelative to a set of receiving sensors. The sensors are located within avehicle. The sensors are used to detect whether the phone is closeenough to the vehicle to allow access to the vehicle (e.g., unlock adoor and/or start the vehicle). The access module of the vehicle uses anangle-of-arrival (AOA) principle. By knowing the angles of arrival ofthe signal transmitted from the BLE radio to at least two separatesensors in the vehicle, the source (i.e. the BLE radio) can bebiangulated on a 2D plane. In this case a phased antenna array is usedto measure the arrival angles of the incoming signal. The phased antennaarray includes multiple antennas receiving the transmitted signals. Eachof the sensors in the vehicle includes one or more antennas. Each of thesensors may be a phased array sensor that includes: three-antennainterleaved circular polarized (CP) receiver with a single radioreceiver; six-antenna interleaved linear polarized (LP) receiver with asingle radio receiver; three-antenna interleaved CP receiver with asingle radio receiver; three-antenna interleaved printed-antenna CPreceiver with a single radio receiver.

The access module detects the direction of an impinging AOA signalaccounting for multipath effects. As an example two sinusoidal RFsignals that are transmitted and arrive at a sensor array are addedtogether hi the antennas of the sensor array. The sum of two sinusoidalRF signals is a sinusoid with a different phase and amplitude thatdepends on phase angles and amplitudes of the two source sinusoids. Amathematical model that is used to predict an AOA direction can indicatean error. This error can be very large and erratic in any dynamicmultipath environment. To prevent this error, a music algorithm asdisclosed herein may be used to identify a source signal along with apotential strong multipath reflection signal. The direct path signal isaccurately tracked from the cell phone. This tracking identifies anyadditional reflected signal(s). Reflected signals may be identified anddiscarded.

The access modules and control modules disclosed herein may implementany of the music algorithms referred to and/or disclosed herein.Direction finding methods can be generally grouped into two categoriessometimes referred to as classical and modern methods. Classical methodsinclude varieties of beamforming methods. Modern methods are generallylabeled subspace methods. A music algorithm is categorized as asuperresolution parameter estimation algorithm using a subspaceseparation method. A subspace method can require a specific arraygeometry of two identical, but physically shifted arrays. Other methodsinclude maximum likelihood estimating and beamforming.

FIG. 70 shows a side view of multiple antennas 7000 in an arrayillustrating an angle of arrival Θ. The array of antennas may bereferred to as an array manifold. Each of the antennas 7000 may bestructured the same and/or similarly as any of the antennas disclosedherein. In one embodiment, one or more of the antennas are quadrifilarhelix antennas.

The music algorithm uses a model of the array manifold that describes aresponse of the array manifold to one or more impinging AOA signals. Auniform linear array (ULA) of antennas may be defined as shown in FIG.70 , where m is the antenna index into the array starting at 1, M is thetotal number of antennas, d is the spacing between antenna elements, andΘ is the angle of an impinging signal. The response of array element mto an impinging signal s may be represented by equation 37, where r isthe received signal, a is the complex array manifold response, s is thesource signal, m as stated is the index number of the antenna element ofinterest, Θ as stated is the physical angle of the impinging sourcesignal, λ is the wavelength of the signal, and n(t) represents noise inthe receiver channel. This shows the effect of a phase delay as afunction of physical position of the elements of the received sensorarray, with a full 180° phase shift at d=λ/2. It also demonstrates thephase shift as a function of impinging angle Θ.

$\begin{matrix}{{r(t)} = {{{a \cdot {s(t)} \cdot e^{j{\pi\lbrack{{d \cdot {({m - 1})}}\frac{2}{\lambda}}\rbrack}}}\sin(0)} + {n(t)}}} & (37)\end{matrix}$

The array steering vector a_(m) is defined by equation 38 for a givensource signal n at incident angle Θ_(n), at antenna element m, for 1≤m≤Mantennas. This assumes an amplitude response of 1 at each antenna andideal phase response for a ULA relative to antenna 1.

a _(m)(0_(n))=e ^(jπ[d*(m-1)*2/λ]sin(0) ^(n) ⁾  (38)

For N impinging signals the received signal r(t) results in a sum of thesource signals through the array manifold and may be represented byequation 39.

$\begin{matrix}{{r(t)} = {{\sum\limits_{n = 1}^{N}{{a\left( \Theta_{n} \right)}{s_{n}(t)}}} + {n(t)}}} & (39)\end{matrix}$

In vector notation, the array manifold response parameters a and A aredefined by equations 40 and 41. Vector a describes the array response ofeach element to a single source signal n, and A describes the responseof all M array elements to all N source signals and is an M×N matrix,where M and N may each be integers greater than or equal to 2. The Nsource signals, sampled at instant t in time, are represented as an N×1vector S(t) as represented by equation 42.

a(Θ_(n))=[a ₁(Θ_(n)),a ₂(Θ_(n)), . . . a _(M)(Θ_(n))]^(T)  (40)

A=[a(Θ₁),a(Θ₂), . . . a(Θ_(N))]  (41)

S(t)=[s ₁(t),s ₂(t), . . . s _(N)(t)]^(T)  (42)

Equation 43 may be used to map N source tones, at different sourceangles of arrival represented in signal S(t) at a given time t, throughan antenna array response manifold model A to received (measured) datavector r(t) with channel noise n(t), where r(t) is an M×1 vector of thereceived data at each antenna element.

r(t)=AS(t)+n(t)  (43)

This mathematical structure of the array manifold model is used toderive the music algorithm and may also be used for simulation andmodeling of a test environment.

FIG. 71 shows an example AOA method including use of the musicalgorithm. Although operations are primarily described as beingperformed by an access module of a vehicle, such as one of the accessmodules disclosed herein, the operations may be performed by a controlmodule of a portable access device. Note that the H operator indicatesthe Hermitian transpose or conjugate transpose operation. The method maybegin at 7400. At 7402, the access module collects T analytical signalsamples from each antenna simultaneously as represented by {r(t)}_(t=1)^(T).

At 7404, the access module estimates the data covariance matrix{circumflex over (R)}, as represented by equation 44.

$\begin{matrix}{\overset{\hat{}}{R} = {{\sum\limits_{t = 1}^{T}{{r(t)}{r(t)}^{H}}} = {RR^{H}}}} & (44)\end{matrix}$

The covariance matrix estimate is calculated per Equation 44 and anexample of the covariance is shown in FIG. 72 . To interpret, each arrowrepresents covariance between the antenna numbers listed in the X and Yaxis at the base of the arrow. The upper-center arrow represents thecovariance (c₁₂) of antenna number 1 relative to antenna number 2, whilethe left-center arrow represents the covariance (c₂₁) of antenna number2 relative to antenna number 1, which is the complex conjugate of c₁₂.The direction of the arrow is the complex plane representation ofmagnitude and direction (the X axis is the real axis and the Y axis isthe imaginary axis).

Notice the diagonal (upper left to lower right) representsautocovariance, which is a unity magnitude and imaginary value of 0.Also, notice that the matrix is Hermetian, meaning that c_(ij)=c* forall i and j, where * is the complex conjugate. Thus, all the usefulinformation is contained in (i) c₁₂, c₂₃, and c₁₃, or (ii) c₂₁, c₃₂ andc₃₁ (the upper-right or lower-left corner not including the diagonalfrom the upper-left to lower-right). This leads to potential savings ofdata storage and reduced transmission size.

At 7406, the access module uses singular value decomposition (SVD) oranother eigenvalue decomposition technique and calculates the M×M matrixU, as represented by equation 45.

{circumflex over (R)}=UΣU ^(H)  (45)

After eigenvalue decomposition of the covariance matrix estimate{circumflex over (R)}, resulting complex eigenvectors are provided,examples of which are shown in FIG. 73 . FIG. 73 shows eigenvectorvisualization with array manifold response at 35°. FIG. 74 showseigenvector visualization with array manifold response at 0°.

As in FIG. 72 , the magnitude and direction of the arrows indicate thereal and imaginary components of each point corresponding to real on theX-axis and imaginary on the Y-axis. The solid and short dashed arrowsrepresent the 3×3 array of eigenvectors. The vector columns (X axis) aresorted by the eigenvalues of the eigenvectors from large (on the left)to small (on the right). Thus, the left-most column number 1 representsthe signal subspace, while columns 2 and 3 represent the noise subspace.

At 7408, the access module estimates or otherwise determines the numberof impinging signals N. At 7410, the access module separates matrix Uinto MxN signal subspace matrix Û_(s) and noise subspace estimateMx(M-N) matrix Û_(e) to satisfy equation 46.

U=[Û _(s) ,Û _(e)]  (46)

Along with the eigenvectors, the array manifold response at the angle ofinterest) (35° is shown by the long dashed arrows. This is derived fromequation 40.

At 7412, the access module computes the music spectrum P(Θ) for a rangeof Θ of interest, at a predetermined resolution, as represented byequation 4

$\begin{matrix}{{P(\theta)} = \frac{1}{{{{a(\Theta)}^{H}U_{e}}}^{2}}} & (47)\end{matrix}$

At this point, the noise subspace eigenvectors of the covariance matrixestimate should be perfectly orthogonal to the array manifold response.The result of the denominator of equation 47 is a small number relativeto results at different test angles Θ.

FIG. 74 presents the same information as FIG. 73 except for the arraymanifold response is shown at an AOA of 0°. Notice that the eigenvectorsremain the same, as the eigenvectors are derived from the measured data.The array manifold response is rotated and shows the expected responseto a directly impinging signal, meaning no phase shift at any antennaelement. In this case, the result of the denominator of equation 47 is amuch larger value than that achieved in the case of FIG. 73 .

At 7414, the access module performs a peak search on P(Θ) to determineangles of arrival. The values of Θ at the maximums of P(Θ) are theangles of arrival of the N impinging signals.

After processing equation 47 for {circumflex over (θ)} over a range of−90° to +90°, the resulting music power spectrum P(Θ) is shown in FIG.76 for a source signal AOA of 35°. Notice a clear peak at the test AOAof 35°. The actual angle is indicated by the vertical dashed line. Theresolution of {circumflex over (θ)} is 1°.

Covariance smoothing methods may be used. As an example, aforward-backward method may be used. The forward-backward approach isimplemented using equations 48 and 49, where {tilde over (R)} is themodified covariance matrix estimate and J is an MxM reverse identitymatrix (transfer matrix).

$\begin{matrix}{\overset{\sim}{R} = {\hat{R} + {J{\hat{R}}^{H}J}}} & (48)\end{matrix}$ $\begin{matrix}{J = \begin{bmatrix}0 & & 1 \\ & ⋰ & \\1 & & 0\end{bmatrix}} & (49)\end{matrix}$

The effective number of coherent tones that may be resolved is

$N \leq \frac{2M}{3}$

sources. For a 3-antenna array, up to 2 coherent tones may be resolved.This method may be used for a 3-antenna phased array of a phased antennaarray receiver board. The method may end at 7416.

As another example, a spatial smoothing method may be used. The spatialsmoothing method is a technique that includes subdividing an array intomultiple subarrays and averaging the covariance matrix results of thesubarrays together. It results in an effectively reduced number ofantenna array elements.

A forward-backward spatial smoothing (FBSS) method may be used andcombines spatial smoothing with the forward-backward approach. It alsoreduces the number of required antenna elements. As yet another example,a Toeplitz Completion method may be used and is suitable for NLAs.

Variations of the music algorithm may be implemented. A derivative ofthe music algorithm referred to as Root-MUSIC can be used on ULAs tofind the impinging signal AOA without the need to calculate results atevery potential angle. This reduces the computational power required.The reduction in computational complexity comes from not needing toperform operations 7412, 7414 of the music algorithm includingcalculating the music spectrum over a large set of {circumflex over (θ)}values and finding the peak(s) of the result.

Another example derivation, referred to as Spectral-MUSIC, is ageneralized version of Root-MUSIC that may be applied to arbitrary arraygeometries, but generally applies to wideband noncoherent sources. Yetanother derivation, referred to as Smooth-MUSIC, refers to a variety ofmethods of smoothing the covariance matrix in the music algorithm and isapplied between operations 7404 and 7406 of FIG. 71 .

Another example derivation, referred to as a CLEAN method includes, oncea source signal is identified at a given direction, reconstructing amodel of the source signal from the known array manifold. Thisreconstructed signal model is subtracted from the measured impingingsignal to remove the impinging signal, thus “cleaning” the measured dataof the undesired source signal and allowing review of other sources.

One problem that occurs with implementation of the music algorithm on anon-ideal antenna array is that two coherent sources withforward-backward covariance smoothing can result in erroneous positionmeasurements. Standard array calibration techniques do not resolve thisas the covariance matrix itself results in erroneous subspaceseparation. To combat this, a variation of the CLEAN method, isperformed for multiple coherent sources and includes identifying sourcesignals using the music algorithm; using the CLEAN method to remove thesource signals, one at a time, using the calibrated array manifold;forcing the source signal position to an offset (not at the originallymeasured location) and recalculating the remaining signal AOA direction,repeating operations 7404 and 7406 of FIG. 71 to verify convergence to anew set of impinging angles of arrival if not the same as the originalangles of arrival; and optionally replacing operation 7402 of FIG. 71with apriori knowledge from the system. For example, while tracking theposition of the source signal it may be assumed that the AOA does notchange greatly between subsequent readings.

FIG. 76 shows an antenna selection system 7600, which includes antennas7602, a switch 7604 and a radio receiver 7606. The radio receiver 7606selects one of the antennas from which to receive a signal via theswitch 7604. The antenna selection system 7600 may be implemented in anyof the systems disclosed herein. In one embodiment, the antennaselection system 7600 is implemented in a vehicle and an access moduledisclosed herein controls operation of the radio receiver 7606.

The antenna selection system 7600 is implemented in a PAK AOA system andimplements BLE AOA data reception. A portion of a BLE radio packetreceived by one of the antennas 7602 includes a OW tone. The radioreceiver 7606 samples the OW tone to provide a quadrature analyticalsignal, meaning two sinusoids with a 90° phase difference referred to asin-phase and quadrature-phase signals (I and Q signals). The I and Qsignals are simultaneously sampled and may be combined to form a complexanalytical sample, r, where r=iI+Q and i is the imaginary constant,i=√{square root over (2)}. The data that is received is therefore slicedinto interleaved samples from each of the antennas with multiplerepetitions.

FIG. 77 illustrates an example reconstruction method for reconstructingthe IQ data. The interleaved data is interpolated to form a receiveddata matrix r(t) for use in the music algorithm. The reconstructionmethod may be performed by any of the access modules disclosed herein.The signal reconstruction method may begin at 7700.

At 7702, the access module converts an analytical IQ sample vector r toa phase angle vector Φ using the arctangent function. At 7704, theaccess module creates a time vector t corresponding to sample vector rbased on the data sampling rate.

At 7706, the access module discards samples taken near the antennaswitching times. At 7708, the access module unwraps each repetitionportion of data points with a step size of π. At 7710, the access modulemeasures the average slope. This is the average frequency of thesinusoids.

At 7712, the access module, for each antenna: a) finds the intercept ofthe first repetition of sampled data; b) projects the positions of thenext repetition of sampled data; c) determines an average differencebetween expected and measured actual positions; d) adds or subtracts 2π;e) repeats operations c and d including repeating the determining of theaverage difference and the adding or subtracting of 2π until the averagedifference is less than π; f) finds the average slope of all pointsalready aligned; and g) repeats operations b-g using the new slope forthe next signal repetition.

At 7714, the access module measures the standard deviation of theaverage slope of each antenna.

At 7716, the access module, if the standard deviation is above athreshold, checks which antenna may have inaccurate alignment byselecting the antenna i, based on equation 50.

$\begin{matrix}{{❘{{f(i)} - {{mean}(f)}}❘} > \frac{❘{{\max(f)} - {\min(f)}}❘}{2}} & (50)\end{matrix}$

At 7718, the access module repeats operation 7712-7718 for the antennaselected at 7716, until a low standard deviation or a maximum retrycounter expires.

At 7720, the access module, for each antenna m, interpolates a straightline of points on the original time vector t to get the reconstructedphase angle vector Φ_(m). This may be based on the phase angle vector Φdetermined at 7702.

At 7722, the access module recreates an IQ sample vector r _(m), foreach antenna m using equation (51), where g is the average magnitude ofthe valid subset of original sample vector r. Subsequent to operation7722, the method may end at 7724.

{circumflex over (r)} _(m) =g _(m) e ^(jΦ) ^(m)   (51)

In one embodiment, the above-stated method is implemented in a vehicleaccess system and/or PAK system, as disclosed herein, having circularpolarized antennas. Signals are received at the circular polarizedantennas. IQ data is determined as described above based on the receivedsignals and angles of arrival are determined using the music algorithm.

FIG. 78A-C show a vehicle 7800 illustrating example placement of asensor 7802, which may be implemented as part of any PAK systemdisclosed herein and may be connected to any access module disclosedherein. FIG. 78C shows example bounce reflections and correspondingpaths of a signal transmitted from a key fob 7804 or other portableaccess device and detected at the sensor 7802. In this example, thesensor 7802 is located high and in a center of the vehicle 7800. Thesensor 7802 may be located, for example in a headliner 7803 of thevehicle 7800. The sensor 7802 is located to cause multiple bounce pathsof the transmitted signal prior to being received at the sensor 7802.The key fob 7804 is shown low relative to the vehicle for illustrationspurposes, but may be located at a higher position.

FIGS. 79A-C show a vehicle 7900 illustrating another example placementof a sensor 7902. FIG. 79C shows example bounce reflections andcorresponding paths of a signal transmitted from a key fob 7904 or otherportable access device and detected at the sensor 7902. In this example,the sensor 7902 is located low and in a center of the vehicle 7900. Thesensor 7902 may be located in a floor 7903 or a center console 7905 ofthe vehicle. The sensor 7902 is located to cause multiple bounce pathsof the transmitted signal prior to being received at the sensor 7902.The key fob 7904 is shown low relative to the vehicle for illustrationspurposes, but may be located at a higher position.

The sensors 7802, 7902 may be located in metal structures of thevehicles with few possible direct paths out of vehicle (i.e. a lowprobability of a line of sight existing between the key fobs 7804, 7904and the sensors 7802, 7902). The metal structures may include frames,metal housings, partially enclosed metal structures, unibody structures,etc., which may be represented at least partially by the dashed line7903, since the floor may include at least a portion of a metalstructure. Although a single sensor is shown in each of FIGS. 78A-C and79A-C, two or more sensors may be included in each vehicle. In anembodiment, each sensor includes two or more antennas, such as two ormore of the antennas disclosed and/or referred to herein. In oneembodiment, two sensors are included and each sensor includes twoantennas, such that there are four antenna paths. In another embodiment,a single sensor is included, and the sensor includes three or moreantennas. Although there may not be a direct line of sight between thekey fobs and the sensors, since there are several to many signal pathsbetween the key fobs and the sensors, short consistent distances betweenthe key fobs and the vehicle are able to be determined using thetechniques disclosed herein. The distance information is used todetermine whether to permit access to the vehicle.

In one embodiment, carrier phase based ranging with use of the musicalgorithm or the like is implemented to determine angles of arrival ofsignals transmitted by the key fobs 7804, 7904. This may includeeigenvalue decomposition. Distances between the key fobs 7804, 7904 andthe vehicles 7800, 7900 are determined based on the angles of arrival.When the key fobs 7804, 7904 are within predetermined distances of thevehicles 7800, 7900, access is permitted. Although there is a lowprobability of a line of sight, there is a high probability that thetransmitted signals bounce multiple times and follow multiple paths toeach of the sensors 7802, 7902. This allows the corresponding accessmodules to determine if the key fobs 7804, 7904 are close to thevehicles 7800, 7900. Multipath signal processing on top of carrier phasebased ranging is performed. This may include time-of-flight signalprocessing as described above, for example, with respect to FIGS. 37,52-56 and 62 . As an example, when the key fobs 7804, 7904 are withinpredetermined distances of the vehicles 7800, 7900, the access modulesof the vehicles 7800, 7900 may unlock doors of the vehicles 7800, 7900.

By forcing indirect signal transmission paths and exchanging apredetermined number of closely transmitted tones and findingeigenvalues, ranging over indirect and reflected paths is able to beperformed using BLE carrier phase based ranging. Systems with fewersensors (referred to as anchors) may be used by placing the anchors suchthat signals primarily follow indirect paths instead of direct line ofsight paths.

In one embodiment, RSSI of the transmitted signals is determined todetermine whether the key fobs 7804, 7904 are within or external to thevehicles 7800, 7900. If the key fobs 7804, 7904 are external to thevehicles, then carrier phase based ranging with eigenvalue decompositionis performed to determine if the key fobs 7804, 7904 are withinpredetermined distances of the vehicles 7800, 7900.

The foregoing description is merely illustrative in nature and is in noway intended to limit the disclosure, its application, or uses. Thebroad teachings of the disclosure can be implemented in a variety offorms. Therefore, while this disclosure includes particular examples,the true scope of the disclosure should not be so limited since othermodifications will become apparent upon a study of the drawings, thespecification, and the following claims. It should be understood thatone or more steps within a method may be executed in different order (orconcurrently) without altering the principles of the present disclosure.Further, although each of the embodiments is described above as havingcertain features, any one or more of those features described withrespect to any embodiment of the disclosure can be implemented in and/orcombined with features of any of the other embodiments, even if thatcombination is not explicitly described. In other words, the describedembodiments are not mutually exclusive, and permutations of one or moreembodiments with one another remain within the scope of this disclosure.

Spatial and functional relationships between elements (for example,between modules, circuit elements, semiconductor layers, etc.) aredescribed using various terms, including “connected,” “engaged,”“coupled,” “adjacent,” “next to,” “on top of,” “above,” “below,” and“disposed.” Unless explicitly described as being “direct,” when arelationship between first and second elements is described in the abovedisclosure, that relationship can be a direct relationship where noother intervening elements are present between the first and secondelements, but can also be an indirect relationship where one or moreintervening elements are present (either spatially or functionally)between the first and second elements. As used herein, the phrase atleast one of A, B, and C should be construed to mean a logical (A OR BOR C), using a non-exclusive logical OR, and should not be construed tomean “at least one of A, at least one of B, and at least one of C.”

In the figures, the direction of an arrow, as indicated by thearrowhead, generally demonstrates the flow of information (such as dataor instructions) that is of interest to the illustration. For example,when element A and element B exchange a variety of information butinformation transmitted from element A to element B is relevant to theillustration, the arrow may point from element A to element B. Thisunidirectional arrow does not imply that no other information istransmitted from element B to element A. Further, for information sentfrom element A to element B, element B may send requests for, or receiptacknowledgements of, the information to element A.

In this application, including the definitions below, the term “module”or the term “controller” may be replaced with the term “circuit.” Theterm “module” may refer to, be part of, or include: an ApplicationSpecific Integrated Circuit (ASIC); a digital, analog, or mixedanalog/digital discrete circuit; a digital, analog, or mixedanalog/digital integrated circuit; a combinational logic circuit; afield programmable gate array (FPGA); a processor circuit (shared,dedicated, or group) that executes code; a memory circuit (shared,dedicated, or group) that stores code executed by the processor circuit;other suitable hardware components that provide the describedfunctionality; or a combination of some or all of the above, such as ina system-on-chip.

The module may include one or more interface circuits. In some examples,the interface circuits may include wired or wireless interfaces that areconnected to a local area network (LAN), the Internet, a wide areanetwork (WAN), or combinations thereof. The functionality of any givenmodule of the present disclosure may be distributed among multiplemodules that are connected via interface circuits. For example, multiplemodules may allow load balancing. In a further example, a server (alsoknown as remote, or cloud) module may accomplish some functionality onbehalf of a client module.

The term code, as used above, may include software, firmware, and/ormicrocode, and may refer to programs, routines, functions, classes, datastructures, and/or objects. The term shared processor circuitencompasses a single processor circuit that executes some or all codefrom multiple modules. The term group processor circuit encompasses aprocessor circuit that, in combination with additional processorcircuits, executes some or all code from one or more modules. Referencesto multiple processor circuits encompass multiple processor circuits ondiscrete dies, multiple processor circuits on a single die, multiplecores of a single processor circuit, multiple threads of a singleprocessor circuit, or a combination of the above. The term shared memorycircuit encompasses a single memory circuit that stores some or all codefrom multiple modules. The term group memory circuit encompasses amemory circuit that, in combination with additional memories, storessome or all code from one or more modules.

The term memory circuit is a subset of the term computer-readablemedium. The term computer-readable medium, as used herein, does notencompass transitory electrical or electromagnetic signals propagatingthrough a medium (such as on a carrier wave); the term computer-readablemedium may therefore be considered tangible and non-transitory.Non-limiting examples of a non-transitory, tangible computer-readablemedium are nonvolatile memory circuits (such as a flash memory circuit,an erasable programmable read-only memory circuit, or a mask read-onlymemory circuit), volatile memory circuits (such as a static randomaccess memory circuit or a dynamic random access memory circuit),magnetic storage media (such as an analog or digital magnetic tape or ahard disk drive), and optical storage media (such as a CD, a DVD, or aBlu-ray Disc).

The apparatuses and methods described in this application may bepartially or fully implemented by a special purpose computer created byconfiguring a general purpose computer to execute one or more particularfunctions embodied in computer programs. The functional blocks,flowchart components, and other elements described above serve assoftware specifications, which can be translated into the computerprograms by the routine work of a skilled technician or programmer.

The computer programs include processor-executable instructions that arestored on at least one non-transitory, tangible computer-readablemedium. The computer programs may also include or rely on stored data.The computer programs may encompass a basic input/output system (BIOS)that interacts with hardware of the special purpose computer, devicedrivers that interact with particular devices of the special purposecomputer, one or more operating systems, user applications, backgroundservices, background applications, etc.

The computer programs may include: (i) descriptive text to be parsed,such as HTML (hypertext markup language), XML (extensible markuplanguage), or JSON (JavaScript Object Notation) (ii) assembly code,(iii) object code generated from source code by a compiler, (iv) sourcecode for execution by an interpreter, (v) source code for compilationand execution by a just-in-time compiler, etc. As examples only, sourcecode may be written using syntax from languages including C, C++, C#,Objective-C, Swift, Haskell, Go, SQL, R, Lisp, Java®, Fortran, Perl,Pascal, Curl, OCaml, Javascript®, HTML5 (Hypertext Markup Language 5threvision), Ada, ASP (Active Server Pages), PHP (PHP: HypertextPreprocessor), Scala, Eiffel, Smalltalk, Erlang, Ruby, Flash®, VisualBasic®, Lua, MATLAB, SIMULINK, and Python®.

None of the elements recited in the claims are intended to be ameans-plus-function element within the meaning of 35 U.S.C. § 112(f)unless an element is expressly recited using the phrase “means for,” orin the case of a method claim using the phrases “operation for” or “stepfor.”

1. (canceled)
 2. An access system for a vehicle, the access systemcomprising: a transmitter configured to transmit a first signal from thevehicle to a portable access device; a receiver configured to receive asecond signal transmitted from the portable access device to thevehicle; and a control module configured to determine a phase based onthe first signal and the second signal, and to determine at least one ofa location or a distance of the portable access device relative to thevehicle based on the phase.
 3. The access system of claim 2, wherein thecontrol module is configured to determine the location of the portableaccess device based on the phase.
 4. The access system of claim 2,wherein the control module is configured to determine the distance ofthe portable access device based on the phase.
 5. The access system ofclaim 2, wherein: the transmitter is configured to transmit the firstsignal from the vehicle at each of a plurality of frequencies; thereceiver is configured to receive at the vehicle the second signal ateach of the plurality of frequencies; and the control module isconfigured to determine a plurality of phases respectively for theplurality of frequencies, and to determine at least one of the locationor the distance of the portable access device relative to the vehiclebased on the plurality of phases.
 6. The access system of claim 5,wherein the control module is configured to determine the distance ofthe portable access device based on the plurality of phases.
 7. Theaccess system of claim 5, wherein the control module is configured todetermine i) a first phase for a first one of the plurality offrequencies, ii) a second phase for a second one of the plurality offrequencies, iii) the distance of the portable access device based onthe first phase, and iv) the distance of the portable access devicebased on the second phase.
 8. The access system of claim 2, wherein: thefirst signal includes a first continuous wave tone; the second signalincludes a second continuous wave tone; and the control module isconfigured to determine the phase based on the first continuous wavetone and the second continuous wave tone.
 9. The access system of claim8, wherein the first continuous wave tone and the second continuous wavetone are unmodulated wave tones.
 10. The access system of claim 2,wherein the control module is configured to determine a phase differencebetween the first signal and the second signal, and to determine the atleast one of the location or the distance of the portable access devicebased on the phase difference.
 11. The access system of claim 2,wherein: the second signal indicates a phase delay of the first signal;and the control module is configured to determine the at least one ofthe location or the distance of the portable access device based on thephase delay.
 12. An access method for a vehicle, the method comprising:transmitting a first signal from the vehicle to a portable accessdevice; receiving a second signal transmitted from the portable accessdevice to the vehicle; determining a phase based on the first signal andthe second signal; and determining at least one of a location or adistance of the portable access device relative to the vehicle based onthe phase.
 13. The method of claim 12, comprising determining thelocation of the portable access device based on the phase.
 14. Themethod of claim 12, comprising determining the distance of the portableaccess device based on the phase.
 15. The method of claim 12, furthercomprising: transmitting the first signal from the vehicle at each of aplurality of frequencies; receiving at the vehicle the second signal ateach of the plurality of frequencies; determining a plurality of phasesrespectively for the plurality of frequencies; and determining at leastone of the location or the distance of the portable access devicerelative to the vehicle based on the plurality of phases.
 16. The methodof claim 15, comprising determining the distance of the portable accessdevice based on the plurality of phases.
 17. The method of claim 15,further comprising: determining a first phase for a first one of theplurality of frequencies; determining a second phase for a second one ofthe plurality of frequencies; determining the distance of the portableaccess device based on the first phase; and determining the distance ofthe portable access device based on the second phase.
 18. The method ofclaim 12, wherein: the first signal includes a first continuous wavetone; the second signal includes a second continuous wave tone; and thephase is determined based on the first continuous wave tone and thesecond continuous wave tone.
 19. The method of claim 18, wherein thefirst continuous wave tone and the second continuous wave tone areunmodulated wave tones.
 20. The method of claim 12, further comprising:determining a phase difference between the first signal and the secondsignal; and determining the at least one of the location or the distanceof the portable access device based on the phase difference.
 21. Theaccess system of claim 2, wherein: the second signal indicates a phasedelay of the first signal; and the at least one of the location or thedistance of the portable access device is determined based on the phasedelay.